Near-Field Methods of Locating EMI Sources

Size: px
Start display at page:

Download "Near-Field Methods of Locating EMI Sources"

Transcription

1 Nea-Field Methods of Locating EMI Souces Contact Infomation: Vladimi Kaz Vladimi Kaz Cedence Technologies, Inc A Caldwell D., Soquel CA USA 1995 Cedence Technologies, Inc. Published in Compliance Engineeing Magazine, May/June 1995 The nea-field test is a valuable tool in EMC pecompliance. This aticle is a bief oveview of the fundamentals of the nea-field measuements and a pactical note of whee and how the test should be applied. Vitues of the Nea-Field Testing Most enginees and manages in the manufactuing business would athe not know anything about electo-magnetic compatibility (EMC). But this is whee the Fedeal Govenment steps in to help. In most counties, no electonics poduct may be sold unless it complies with the equiements of the local govenmental EMC agency. Many peviously exempt industies, such as medical, etc., now have to ente the wold of compliance. The adiated EMI compliance test is clealy defined in FCC p.15 and many othe intenational and militay standads and egulations. The specifics vay slightly, but the pinciple is the same: the poduct unde test is placed at some distance fom a well-defined antenna and the amount of adiation is measued acoss the equied fequency band. In othe wods, the measuements ae done in the fa field. Testing in the fa field means that the eceiving antenna is placed at a sufficient distance fom the poduct unde test whee the adiation iegulaities esulting fom the poduct s complex geomety ae added togethe and ae measued as a whole. In essence, the fa field test can tell whethe the poduct passes o fails as a whole but it cannot point the souce of a poblem. Using only the fa-field test, one cannot tell whethe an opening in the metal enclosue leaks too much adiation o a cable connected to the poduct caies too much RF enegy that gets adiated. It is simila to tying to find out what specifically makes a noise unde the hood of a ca fom a distance of 10 feet. One can guess that it might be a belt by its signatue squeak, but which one out of thee o fou is impossible to tell. Of couse, a diligent mechanic can eplace all the belts just in case, taking too much time and unning epai costs too high, but what if at the end it may not be a belt at all? In ode to locate the souce of the poblem, why not come close to the ca and take a look? As with the ca, electonic assemblies also need close up inspection. Unfotunately, fa-field antennae won t be able to help -- they ae just too big fo the job. The ight tool is called a nea-field pobe. It can identify the exact souces of emissions down to a component o a tace. With its help the whole poduct can be scanned in a matte of minutes and the leaks and poblematic aeas can be located on the spot. The disadvantage of the nea-field pobe is that thee is vey little coelation between nea-field and fafield measuements. This is due to the complex geomety and uneven adiation pattens of the tested poduct. Howeve, one thing is cetain: the highe the adiation level in the nea field, the highe it is in the fa field. Theefoe, tests pefomed in the nea field give designes a feel of how the poduct will behave in the fa field test. The nea-field test can map the electomagnetic field aound the poduct, easily identifying spots with high adiation levels. Designes can then make changes to eithe eliminate o contain the emissions. Nea-Field Pime The measuements done fo agency appoval ae pefomed at a distance of 3m o 10m. At these distances, the natue of the electomagnetic field is detemined by the souce, and the distance fom the souce. The popeties of the mateial between the souce and the point of measuement (in ou case it is only ai) also influence the eading. Page 1 of 7

2 As the test pobe gets close to the souce, the natue of the electo-magnetic field changes. Nea the souce of adiation the field poduced is mostly a function of the popeties of the souce. If the field is geneated by an object with high cuent and low voltage, the field poduced will be magnetic in natue, o H-field. If the souce has high voltage but little o no cuent, the esulting field is electic, o E-field. The electomagnetic field can be chaacteized by its wave impedance. Just like Ohms law stating that R= V, the wave I impedance Z W is a atio of the values of the electic and magnetic components of a paticula field. At any given point, the wave impedance is: Z W = E H (1) At some distance fom the souce, called the tansitional egion, both fields will end up with the same wave impedance that theeafte stays the same. This wave impedance, called the chaacteistic impedance, is the popety of the media in which the field is popagated. Fo ai, this impedance is 377W. As seen fom the equation above, a constant wave impedance means that the atio of E and H fields beyond the tansitional egion becomes the same fo all types of fields egadless of how they began. The field befoe the tansitional egional is called the nea field (o Fesnel egion), and the field beyond it is called the fa field (o Faunhofe egion). It is impotant to emembe that thee is no such thing as a puely electic field o a puely magnetic field. A conducto with a substantial cuent causing an H field still caies some small voltage that ceates an E field, albeit small in magnitude. Similaly, an antenna o an unteminated wie still caies some cuent via paasitic capacitance to gound. As seen fom the equation above, pedominately magnetic (H) fields ae chaacteized by low wave impedance, while mostly electic (E) fields have vey high wave impedance. The distance fom the souce also factos into the wave impedance equation. Electic and magnetic fields attenuate as this distance inceases. Each field begins to poduce its complementay field. As a esult of this, the wave impedance changes with the distance fom the souce. Fo an H-field, the wave impedance inceases with the distance fom the souce, fo an E-field, the wave impedance deceases. The fomula fo a magnetic souce is: Z W = 120p and fo an electic souce is: Z W = 120p (2) 2 +1 (3) whee is the distance fom the souce. Page 2 of 7 Figue 1. Wave Impedance as a Function of a Distance Figue 1 shows the tansition fom the nea field to the fa field. As seen, in the nea field each component has to be consideed sepaately. The tansition zone lies at a point of: = l 2p (4) whee is the distance fom the souce; l is the wavelength of the signal. Figue 2 shows how fa the tansition zone is fom the souce as a function of signal fequency. As seen, fo the fequencies of inteest (30MHz to 1GHz) all adiated compliance tests (classes A and B) ae conducted completely in the fa-field.

3 Distance, m Nea-Field Tansitional Region The Validity of the Nea-Field Measuements Ou inteest is in compliance measuements. As discussed above, fa-field measuements pefomed at the final compliance test do not help in locating the souce of the poblem. Nea-field measuements ae the only way to pinpoint souces of offensive adiation. But how good and eliable ae these tests and how to intepet thei esults? Since nea-field eadings ae geatly dependent on the geomety of the souce and its popeties, any attempt to povide coelation between measuements pefomed in the nea field to those done in the fa field will not delive usable esults. The only coelation is that, in geneal, the stonge the field nea the souce, the stonge it will egiste in the fa field. In addition to the basic coelation poblem, the following issues haunt the pecision and epeatability of nea-field measuements: Small movements of the nea-field pobe may poduce much geate elative change of distance fom the souce than the same absolute change in the fa-field. Readings of the field stength will be affected accodingly. A nea-field pobe has finite dimensions. Slight epositioning of the pobe vs. the device unde test (DUT) may put the nea-field antenna in a place whee the geomety of the DUT altes field 450 Fequency, MHz Figue 2. Tansitional Region as a Function of Fequency stength eadings, thus endeing epeatability of the measuements next to impossible. Thee ae just too many vaiables to make the numeical esults of nea-field tests tustwothy. Of couse, one could calibate the nea-field pobe and poduce an elaboate specification of its pefomance. If the eadings taken with the nea-field pobe cannot be tusted, what ae the benefits of using it? This question may especially intigue those enginees used to pecision in measuements. The answe is simple: the nea-field test povides only elative esults. The nea-field test can show whee the emission is stonge and whee it is weake and what type of field is dominant (i.e. what specifically is causing it). With the help of the nea-field test, expeience and intuition one can easily isolate the souce of the poblem and take actions to solve it. Types of Nea-Field Pobes H-Field Pobes The magnetic, o H, field is caused by cuent. Examples of H-field souces ae PCB taces with elatively high cuent, teminated wies and cables, etc. Sometimes, an H-field is geneated by cuents in the metal enclosue whee it was induced by highlevel EM adiation fom the cicuit boad inside. Appopiately, the sensing element of an H-field is a simple coil which is inductively coupled to the emitting tace o wie. An example of such a pobe is shown in Figue 3. The H- field pobe is connected to a spectum analyze via a cable o is incopoated into a self-contained device. Cente Wie Shield Coax Cable Figue 3. Simplest H-Field Pobe The H-field pobe povides maximum output when its loop is aligned with the cuent-caying wie and is in immediate poximity to it. Both these featues seve the pupose of locating exact souces of adiation. Using the diectional popeties of the H- pobe, the use can actually follow the wie o tace with the excessive adiation. By otating the pobe, Page 3 of 7

4 the taces with little o no adiation can be exempt fom suspicion. Cuent, ua Fequency, MHz 750 An impotant thing to know is that not evey spectum analyze o voltmete has a full-wave ectifie. A pactical implication of this is that a typical H-pobe may poduce diffeent esults at otation. Not ecognizing this fact can lead to ignoing impotant souces of stong adiation. Some H-field pobes have two coils positioned in opposite diections and a balun tansfome. Such a pobe has much bette bi-diectional popeties. The diamete of the loop detemines seveal impotant paametes: sensitivity of the pobe, its fequency esponse, and the ability to identify exact souces of emission. The lage the diamete of the loop, the moe magnetic field flux lines the loop will coss and the bette the inductive coupling will be with the offending wie. This esults in highe sensitivity of the lage loop. At the same time, a lage loop may not be able to diffeentiate between seveal taces, no to tell which one is the culpit. The lage loop has highe inductance that the smalle one. It leads to the loop s lowe esonance fequency beyond which the loop is unusable. Some manufactues poduce a kit of seveal H-pobes suited fo diffeent fequency bands. The ideal case, Wie Length, m Page 4 of 7 howeve, would be a small loop with sufficient sensitivity as it would satisfy the majo equiement: the ability to locate souces of adiation within the equied fequency band. Even a small cuent in a conducto can poduce a noticeable electo-magnetic field if the conducto is sufficiently long. The field stength can be calculated as: E = 1.25 Ifl whee E is field stength, mv/m I - cuent though the conducto, ma f - signal fequency, MHz l - length of conducto, m - distance fom the conducto, m (5) Figue 4 shows what cuent stength will poduce a field of 100mV/m at a distance of 3m as a function of signal fequency and conducto length. As seen, a nea-field H-pobe that can eliably detect 5mA is well suited fo the job. E-Field Pobes The electic, o E field is caused by voltage. Examples of E-fields ae unteminated cables and wies, PCB taces leading to high-impedance logic, whethe it be high-impedance inputs o ti-state outputs of logic ICs. A most common home-gown E-field pobe fo the nea-field is vey simple - it is just a piece of shot wie extending fom the shielded coaxial cable, as shown in Fig. 5. The smalle the antenna (the extended piece of the cental wie), the easie it would be to pinpoint the exact souce of adiation. Sensitivity, howeve, will Cente Wie Coax Cable Figue 5. Simplest E-Field Pobe suffe. The sensitivity of the nea-field pobe/spectum analyze combination is impotant not in absolute numbes, but athe in the stength of the field it is able to detect. A typical nea-field pobe is usually attached to the spectum analyze. A pobe combination that can detect electic field with a stength of ~5 mv/m is adequate fo use with equipment that is to be cetified fo FCC class B. A less sensitive pobe combination will miss impotant

5 emission souces, while one too sensitive can pompt a panic situation whee even a quite lame and insignificant emission spot will be teated as an emegency. Points of Inteest A nea-field test can do the following: pinpoint the exact location of a component, cicuit aea o tace with high emission levels pedict adiated EMC test esults pe-test you poduct pio to the official compliance test in ode to identify potential poblems ealy quickly toubleshoot a poduct which failed the compliance test find EM leakage on enclosues, cables and connectos find souces of intefeence peventing a poduct fom functioning popely. It is vey impotant to use nea-field pobes popely and to coectly intepet the esults. Nothing can substitute fo hands-on expeience with actual neafield pobes and with coelating the esults of the fa-field test with nea-field measuements. Howeve, thee ae some notes of inteest that may help in nea-field tests. Thee is seldom an exclusively electic o an exclusively magnetic field. Always use both pobes in ode to undestand the natue of emission and what you ae fighting against. As an example, if a PCB tace geneates esponse only in an E-pobe, but not in an H-pobe, it is pobably an electic field. Howeve, it is unlikely to find many occasions whee only an H-pobe is affected. Usually, if the tace emits a magnetic field, an E-field is also pesent. This happens because taces almost neve cay cuent with vey little voltage. High-level adiation egisteed with the nea-field pobe is not necessaily an indication of a poblem in the fa field. Just the opposite could be tue -- the nea-field pobe may not show the field stength of the aea which is the cause of the compliance failue. In ode to undestand why, one needs only to ealize that in the nea field the pobe picks the signal only at a paticula spot, while in the fa-field the field stength geatly depends on the antenna popeties of the adiating object. As an example, a shot tace on the PCB with a stong emission level may be much less dangeous than a longe one with a lowe emission level. A single small-size stong emission leak fom an othewise shielded enclosue may be much less dangeous than lukewam adiation fom a lage aea o aound a long seam in the shield. If the offending fequency is well-known and if the field caying it is not the stongest one in the poduct, a spectum analyze will be needed. If the pobe is used in the ealy stages of development whee it is not yet clea what fequency will be of concen, a simple boad-band level indicato will do an adequate job. In many cases it may actually do a bette job than a spectum analyze in seaching fo the highest emission level, since the spectum analyze may not povide a total signal level in the band eadings. It is difficult to subjectively judge it by looking at the sceen. Case Study: Detemining Shielding Needs Place the PCB assembly into an enclosue. The pototype will do since this is the time to decide on the shielding needs. Powe it up. Pass the nea-field pobe ove all extenal sufaces of the enclosue. Notice whee the emission is the stongest. If thee ae only one o two stong emission spots and the est of the poduct is elatively quiet, then placing localized small shields ove these spots may suffice. If thee is a mild o high adiation level ove a boad aea, moe compehensive shielding may be needed. Afte the shielding is pototyped, epeat the scan. The nea-field test will tell you whethe the shielding did its job. Good shielding will educe the nea-field emission down to a backgound level. Sometimes moe than one iteation of a shield s configuation may be needed. Afte the decision on one o two types of shielding is made, the poduct needs to go to a cetified lab fo a fa-field test. This test will show whethe the shielding did its job adequately and the shield design can be finalized at the pototype stage. Without the nea-field test applying shielding is somewhat like flying blind. As a esult, moe than one tip to the lab could be needed, with its Page 5 of 7

6 inceased cost and loss of pecious time. The neafield test helps design pope shielding at a much ealie stage in poduct development, saving both time and money. Timing is Eveything Thee comes a time in the design of many an electonic poduct when it is taken to a cetified laboatoy fo EMC testing. The esult of this test detemines whethe the poduct can be shipped o needs to be edesigned in ode to comply with the egulations. Such a time comes at the wost possible moment in the schedule -- the poduct is fully designed and debugged, the pototype is assembled, mateials fo inventoy have been odeed, poduction is planned, Maketing and Sales ae loiteing in the engineeing quates tying to glean how soon they can begin selling the poduct, and time is unning out. Evey day of delay can cost a company thousands (o even millions) of dollas in evenues. It is inconceivable fo uppe management that such an insignificant engineeing pocedue as an EMC compliance test can actually bing the whole opeation to a halt, should the poduct fail the test. It is even moe supising to many that the last minute quick fix fo the compliance poblems may aise the cost of the poduct seveal dollas, uining evenue plans, pofit objectives, etc. Since EMC compliance is almost neve consideed to be among the pime objectives of poduct development, it is seldom given enough attention. Typically, an EMC test is not a pat of the plan, but athe a scheduled event somewhee at the end of the poject. Yet, if one is to calculate the damage non-compliance could bing to a business, suely the bight minds in a easonable company would assign it a vey high pioity fom the vey beginning. The wasted time due to unfoeseen EMC poblems could be weeks, if not moe. The thousands of dollas spent on unnecessay tests and evisions of the pototype at the last moment fades in compaison to the lost evenues due to a schedule slip and the cost of added unplanned EMC potection pats to evey shipped unit. As Wall Steet Jounal epots in its Aug. 5/94 issue, Compaq had to delay shipment of thei Elite line of notebook computes fom Mach to June due to the FCC compliance poblems. How many companies can absob such impact on evenues? Smooth and timely passing of the EMC compliance test without emegency expenses is almost neve an accident; it is a esult of a good planning. The ealie electomagnetic compliance entes the scene, the fewe supises will be waiting at the end. Most of the factos detemining the EMC fate of the poduct ae decided upon at the ealiest stages of design: the poduct s physical achitectue, the numbe of the PC boads in the poduct, the equied cable inteconnects, the numbe of layes in each boad, the numbe of diffeent clocks and the clock fequencies, the type of enclosue and its mateial, etc. Most of these decisions will be made fa ahead of having a fully woking system that is testable fo compliance. Some lage pecent of guesswok is unavoidable. But having the ight tools fo the job can damatically educe the pue guesswok down to educated estimates, and futhe, to some level of confidence. The standad fa-field compliance test fo adiated emission is not well suited fo the ealy stages of poduct development. The fist pototype boad is seldom the same as its final vesion; cable assemblies ae spaghetti-like; and the enclosue is nowhee in sight. Futhemoe, the fa field test cannot tell whee to look fo the poblems. The nea field test can become the pefect tool fo ealy pe-compliance wok. Pefoming a nea-field scan on the vey fist evision of the PC boad can eveal futue hot spots at the time they can be made hamless at the lowest cost. Taces can be eouted, gound planes added, filte components, such as feite beads, etc. can be accommodated. Ealy knowledge of the adiation pattens can tell the mechanical enginee exactly whee to pepae to accommodate shielding, should it become necessay. This alone can save hundeds of thousands of dollas in last-minute tooling changes. Ealy detection can not be achieved with only the fa-field test. No one would be able o willing to take ealy pototypes to the EMC laboatoy fo outine diagnostics. As fo the financial aspects, a full-blown fa-field setup on site may cost a pohibitive amount of money. On the othe hand, nea-field pobes can be puchased fo as little as $600, and can and should be as common fo an Page 6 of 7

7 electonics enginee as a multimete o an oscilloscope. ScanEM Pobes -- The Right Tool Cedence Technologies manufactues fully selfcontained nea-field EMI pobes: ScanEM -EC fo detecting electic fields and ScanEM Ò -HC fo detecting magnetic fields. In self-contained mode, ScanEM pobes do not need a spectum analyze o any othe equipment to opeate and equie no cods. Each pobe weighs ~2 ounces (57g), and is poweed by two AAA batteies that ae included with the poduct. ScanEM-EC uses a small monopole antenna, and ScanEM-HC employs 1/4 (~6mm) diamete coil. The pobes can locate souces of emission of vey small size -- often down to a single pin of the connecto o a single tace on the PC boad, o a wie in a cable assembly. Since in the beginning of poduct development it is not entiely clea which fequency may cause poblem at the compliance test, ScanEM measues field stength in a boad band. ScanEM-EC has a fequency esponse fom 2MHz to 2GHz, though it was epoted by customes to pefom well up to 3GHz. ScanEM-H woks between 1MHz and 1GHz. ScanEM pobes do not povide absolute values of the field stength. Absolute numbes bea little significance in the nea-field measuements. Rathe, ScanEM pobes povide elative field stength data. In ode to have eal-time esponse, both ScanEM pobes have a 5-LED level ba with esolution of ~1dB/LED. In addition to visual indication, both pobes ae equipped with a speake that poduces a tone with the pitch dependent on field stength. Since the human ea is extemely sensitive to diffeences in the pitch of sound, the slightest change in field stength can be obseved by listening, without looking at the pobe s display. The sound can be disabled with an easily accessible switch. In ode to accommodate fo vaious field stengths, ScanEM pobes have a Level dial that can set the backgound level ove a boad ange of amplitudes. The use would bing ScanEM to an aea whee emissions ae consideed to be at a backgound level. The Level dial would be then adjusted so that only the fist (geen) LED is on. Afte that, the suspected aeas of the poduct would be scanned. The LED level ba and the pitch of the sound show deviations in field stength vs. the set backgound level. If the field stength at any point is lowe than the backgound level, ScanEM will be quiet and the lights will be off (squelch mode). This squelch featue allows ScanEM to eact only to fields stonge than the peset backgound level. This acceleates seach fo the hot emission spots. The momentay powe button povides powe to ScanEM only when depessed. This pevents accidental battey dischage. It should be clea that ScanEM pobes do not attempt to be a eplacement fo a spectum analyze. Howeve, ScanEM pobes povide essential functionality fo nea-field testing at a minimum cost and with geat convenience. ScanEM pobes ae vey easy to use and equie vitually no taining. Each pobe is about the size of a candy ba and fits easily inside a shit pocket. ScanEM ae available as a kit. The ScanEM pobes kit model CTK015 includes both ScanEM pobes, RF cable fo connecting to a spectum analyze o an oscilloscope along with a handy, duable plastic case. ScanEM pobes ae made in the U.S.A. Page 7 of 7

Converting knowledge Into Practice

Converting knowledge Into Practice Conveting knowledge Into Pactice Boke Nightmae srs Tend Ride By Vladimi Ribakov Ceato of Pips Caie 20 of June 2010 2 0 1 0 C o p y i g h t s V l a d i m i R i b a k o v 1 Disclaime and Risk Wanings Tading

More information

Do Vibrations Make Sound?

Do Vibrations Make Sound? Do Vibations Make Sound? Gade 1: Sound Pobe Aligned with National Standads oveview Students will lean about sound and vibations. This activity will allow students to see and hea how vibations do in fact

More information

An Introduction to Omega

An Introduction to Omega An Intoduction to Omega Con Keating and William F. Shadwick These distibutions have the same mean and vaiance. Ae you indiffeent to thei isk-ewad chaacteistics? The Finance Development Cente 2002 1 Fom

More information

NUCLEAR MAGNETIC RESONANCE

NUCLEAR MAGNETIC RESONANCE 19 Jul 04 NMR.1 NUCLEAR MAGNETIC RESONANCE In this expeiment the phenomenon of nuclea magnetic esonance will be used as the basis fo a method to accuately measue magnetic field stength, and to study magnetic

More information

Deflection of Electrons by Electric and Magnetic Fields

Deflection of Electrons by Electric and Magnetic Fields Physics 233 Expeiment 42 Deflection of Electons by Electic and Magnetic Fields Refeences Loain, P. and D.R. Coson, Electomagnetism, Pinciples and Applications, 2nd ed., W.H. Feeman, 199. Intoduction An

More information

Episode 401: Newton s law of universal gravitation

Episode 401: Newton s law of universal gravitation Episode 401: Newton s law of univesal gavitation This episode intoduces Newton s law of univesal gavitation fo point masses, and fo spheical masses, and gets students pactising calculations of the foce

More information

est using the formula I = Prt, where I is the interest earned, P is the principal, r is the interest rate, and t is the time in years.

est using the formula I = Prt, where I is the interest earned, P is the principal, r is the interest rate, and t is the time in years. 9.2 Inteest Objectives 1. Undestand the simple inteest fomula. 2. Use the compound inteest fomula to find futue value. 3. Solve the compound inteest fomula fo diffeent unknowns, such as the pesent value,

More information

Concept and Experiences on using a Wiki-based System for Software-related Seminar Papers

Concept and Experiences on using a Wiki-based System for Software-related Seminar Papers Concept and Expeiences on using a Wiki-based System fo Softwae-elated Semina Papes Dominik Fanke and Stefan Kowalewski RWTH Aachen Univesity, 52074 Aachen, Gemany, {fanke, kowalewski}@embedded.wth-aachen.de,

More information

STUDENT RESPONSE TO ANNUITY FORMULA DERIVATION

STUDENT RESPONSE TO ANNUITY FORMULA DERIVATION Page 1 STUDENT RESPONSE TO ANNUITY FORMULA DERIVATION C. Alan Blaylock, Hendeson State Univesity ABSTRACT This pape pesents an intuitive appoach to deiving annuity fomulas fo classoom use and attempts

More information

Things to Remember. r Complete all of the sections on the Retirement Benefit Options form that apply to your request.

Things to Remember. r Complete all of the sections on the Retirement Benefit Options form that apply to your request. Retiement Benefit 1 Things to Remembe Complete all of the sections on the Retiement Benefit fom that apply to you equest. If this is an initial equest, and not a change in a cuent distibution, emembe to

More information

Gauss Law. Physics 231 Lecture 2-1

Gauss Law. Physics 231 Lecture 2-1 Gauss Law Physics 31 Lectue -1 lectic Field Lines The numbe of field lines, also known as lines of foce, ae elated to stength of the electic field Moe appopiately it is the numbe of field lines cossing

More information

Comparing Availability of Various Rack Power Redundancy Configurations

Comparing Availability of Various Rack Power Redundancy Configurations Compaing Availability of Vaious Rack Powe Redundancy Configuations By Victo Avela White Pape #48 Executive Summay Tansfe switches and dual-path powe distibution to IT equipment ae used to enhance the availability

More information

Magnetic Field and Magnetic Forces. Young and Freedman Chapter 27

Magnetic Field and Magnetic Forces. Young and Freedman Chapter 27 Magnetic Field and Magnetic Foces Young and Feedman Chapte 27 Intoduction Reiew - electic fields 1) A chage (o collection of chages) poduces an electic field in the space aound it. 2) The electic field

More information

Controlling the Money Supply: Bond Purchases in the Open Market

Controlling the Money Supply: Bond Purchases in the Open Market Money Supply By the Bank of Canada and Inteest Rate Detemination Open Opeations and Monetay Tansmission Mechanism The Cental Bank conducts monetay policy Bank of Canada is Canada's cental bank supevises

More information

Experiment 6: Centripetal Force

Experiment 6: Centripetal Force Name Section Date Intoduction Expeiment 6: Centipetal oce This expeiment is concened with the foce necessay to keep an object moving in a constant cicula path. Accoding to Newton s fist law of motion thee

More information

Comparing Availability of Various Rack Power Redundancy Configurations

Comparing Availability of Various Rack Power Redundancy Configurations Compaing Availability of Vaious Rack Powe Redundancy Configuations White Pape 48 Revision by Victo Avela > Executive summay Tansfe switches and dual-path powe distibution to IT equipment ae used to enhance

More information

Questions & Answers Chapter 10 Software Reliability Prediction, Allocation and Demonstration Testing

Questions & Answers Chapter 10 Software Reliability Prediction, Allocation and Demonstration Testing M13914 Questions & Answes Chapte 10 Softwae Reliability Pediction, Allocation and Demonstation Testing 1. Homewok: How to deive the fomula of failue ate estimate. λ = χ α,+ t When the failue times follow

More information

The Binomial Distribution

The Binomial Distribution The Binomial Distibution A. It would be vey tedious if, evey time we had a slightly diffeent poblem, we had to detemine the pobability distibutions fom scatch. Luckily, thee ae enough similaities between

More information

How to create RAID 1 mirroring with a hard disk that already has data or an operating system on it

How to create RAID 1 mirroring with a hard disk that already has data or an operating system on it AnswesThatWok TM How to set up a RAID1 mio with a dive which aleady has Windows installed How to ceate RAID 1 mioing with a had disk that aleady has data o an opeating system on it Date Company PC / Seve

More information

Define What Type of Trader Are you?

Define What Type of Trader Are you? Define What Type of Tade Ae you? Boke Nightmae srs Tend Ride By Vladimi Ribakov Ceato of Pips Caie 20 of June 2010 1 Disclaime and Risk Wanings Tading any financial maket involves isk. The content of this

More information

Chapter 3 Savings, Present Value and Ricardian Equivalence

Chapter 3 Savings, Present Value and Ricardian Equivalence Chapte 3 Savings, Pesent Value and Ricadian Equivalence Chapte Oveview In the pevious chapte we studied the decision of households to supply hous to the labo maket. This decision was a static decision,

More information

Software Engineering and Development

Software Engineering and Development I T H E A 67 Softwae Engineeing and Development SOFTWARE DEVELOPMENT PROCESS DYNAMICS MODELING AS STATE MACHINE Leonid Lyubchyk, Vasyl Soloshchuk Abstact: Softwae development pocess modeling is gaining

More information

Skills Needed for Success in Calculus 1

Skills Needed for Success in Calculus 1 Skills Needed fo Success in Calculus Thee is much appehension fom students taking Calculus. It seems that fo man people, "Calculus" is snonmous with "difficult." Howeve, an teache of Calculus will tell

More information

2 r2 θ = r2 t. (3.59) The equal area law is the statement that the term in parentheses,

2 r2 θ = r2 t. (3.59) The equal area law is the statement that the term in parentheses, 3.4. KEPLER S LAWS 145 3.4 Keple s laws You ae familia with the idea that one can solve some mechanics poblems using only consevation of enegy and (linea) momentum. Thus, some of what we see as objects

More information

Database Management Systems

Database Management Systems Contents Database Management Systems (COP 5725) D. Makus Schneide Depatment of Compute & Infomation Science & Engineeing (CISE) Database Systems Reseach & Development Cente Couse Syllabus 1 Sping 2012

More information

Figure 2. So it is very likely that the Babylonians attributed 60 units to each side of the hexagon. Its resulting perimeter would then be 360!

Figure 2. So it is very likely that the Babylonians attributed 60 units to each side of the hexagon. Its resulting perimeter would then be 360! 1. What ae angles? Last time, we looked at how the Geeks intepeted measument of lengths. Howeve, as fascinated as they wee with geomety, thee was a shape that was much moe enticing than any othe : the

More information

Financing Terms in the EOQ Model

Financing Terms in the EOQ Model Financing Tems in the EOQ Model Habone W. Stuat, J. Columbia Business School New Yok, NY 1007 hws7@columbia.edu August 6, 004 1 Intoduction This note discusses two tems that ae often omitted fom the standad

More information

The Electric Potential, Electric Potential Energy and Energy Conservation. V = U/q 0. V = U/q 0 = -W/q 0 1V [Volt] =1 Nm/C

The Electric Potential, Electric Potential Energy and Energy Conservation. V = U/q 0. V = U/q 0 = -W/q 0 1V [Volt] =1 Nm/C Geneal Physics - PH Winte 6 Bjoen Seipel The Electic Potential, Electic Potential Enegy and Enegy Consevation Electic Potential Enegy U is the enegy of a chaged object in an extenal electic field (Unit

More information

How to recover your Exchange 2003/2007 mailboxes and emails if all you have available are your PRIV1.EDB and PRIV1.STM Information Store database

How to recover your Exchange 2003/2007 mailboxes and emails if all you have available are your PRIV1.EDB and PRIV1.STM Information Store database AnswesThatWok TM Recoveing Emails and Mailboxes fom a PRIV1.EDB Exchange 2003 IS database How to ecove you Exchange 2003/2007 mailboxes and emails if all you have available ae you PRIV1.EDB and PRIV1.STM

More information

Exam #1 Review Answers

Exam #1 Review Answers xam #1 Review Answes 1. Given the following pobability distibution, calculate the expected etun, vaiance and standad deviation fo Secuity J. State Pob (R) 1 0.2 10% 2 0.6 15 3 0.2 20 xpected etun = 0.2*10%

More information

Spirotechnics! September 7, 2011. Amanda Zeringue, Michael Spannuth and Amanda Zeringue Dierential Geometry Project

Spirotechnics! September 7, 2011. Amanda Zeringue, Michael Spannuth and Amanda Zeringue Dierential Geometry Project Spiotechnics! Septembe 7, 2011 Amanda Zeingue, Michael Spannuth and Amanda Zeingue Dieential Geomety Poject 1 The Beginning The geneal consensus of ou goup began with one thought: Spiogaphs ae awesome.

More information

Experiment MF Magnetic Force

Experiment MF Magnetic Force Expeiment MF Magnetic Foce Intoduction The magnetic foce on a cuent-caying conducto is basic to evey electic moto -- tuning the hands of electic watches and clocks, tanspoting tape in Walkmans, stating

More information

Manual ultrasonic inspection of thin metal welds

Manual ultrasonic inspection of thin metal welds Manual ultasonic inspection of thin metal welds Capucine Capentie and John Rudlin TWI Cambidge CB1 6AL, UK Telephone 01223 899000 Fax 01223 890689 E-mail capucine.capentie@twi.co.uk Abstact BS EN ISO 17640

More information

Ignorance is not bliss when it comes to knowing credit score

Ignorance is not bliss when it comes to knowing credit score NET GAIN Scoing points fo you financial futue AS SEEN IN USA TODAY SEPTEMBER 28, 2004 Ignoance is not bliss when it comes to knowing cedit scoe By Sanda Block USA TODAY Fom Alabama comes eassuing news

More information

SELF-INDUCTANCE AND INDUCTORS

SELF-INDUCTANCE AND INDUCTORS MISN-0-144 SELF-INDUCTANCE AND INDUCTORS SELF-INDUCTANCE AND INDUCTORS by Pete Signell Michigan State Univesity 1. Intoduction.............................................. 1 A 2. Self-Inductance L.........................................

More information

Magnetic Bearing with Radial Magnetized Permanent Magnets

Magnetic Bearing with Radial Magnetized Permanent Magnets Wold Applied Sciences Jounal 23 (4): 495-499, 2013 ISSN 1818-4952 IDOSI Publications, 2013 DOI: 10.5829/idosi.wasj.2013.23.04.23080 Magnetic eaing with Radial Magnetized Pemanent Magnets Vyacheslav Evgenevich

More information

Anti-Lock Braking System Training Program

Anti-Lock Braking System Training Program COVERST.EPS ac T to $2.50 BS A Anti-Lock Baking System Taining Pogam Student Manual TP-9738 Revised 3-99 Module 1 ABS Components and System Opeation Module 2 ABS Diagnosis and Repai Module 3 ATC Opeation,

More information

IBM Research Smarter Transportation Analytics

IBM Research Smarter Transportation Analytics IBM Reseach Smate Tanspotation Analytics Laua Wynte PhD, Senio Reseach Scientist, IBM Watson Reseach Cente lwynte@us.ibm.com INSTRUMENTED We now have the ability to measue, sense and see the exact condition

More information

Voltage ( = Electric Potential )

Voltage ( = Electric Potential ) V-1 Voltage ( = Electic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage is

More information

BIOS American Megatrends Inc (AMI) v02.61 BIOS setup guide and manual for AM2/AM2+/AM3 motherboards

BIOS American Megatrends Inc (AMI) v02.61 BIOS setup guide and manual for AM2/AM2+/AM3 motherboards BIOS Ameican Megatends Inc (AMI) v02.61 BIOS setup guide and manual fo AM2/AM2+/AM3 motheboads The BIOS setup, also called CMOS setup, is a cucial pat of the pope setting up of a PC the BIOS (Basic Input

More information

Valuation of Floating Rate Bonds 1

Valuation of Floating Rate Bonds 1 Valuation of Floating Rate onds 1 Joge uz Lopez us 316: Deivative Secuities his note explains how to value plain vanilla floating ate bonds. he pupose of this note is to link the concepts that you leaned

More information

Ilona V. Tregub, ScD., Professor

Ilona V. Tregub, ScD., Professor Investment Potfolio Fomation fo the Pension Fund of Russia Ilona V. egub, ScD., Pofesso Mathematical Modeling of Economic Pocesses Depatment he Financial Univesity unde the Govenment of the Russian Fedeation

More information

The Supply of Loanable Funds: A Comment on the Misconception and Its Implications

The Supply of Loanable Funds: A Comment on the Misconception and Its Implications JOURNL OF ECONOMICS ND FINNCE EDUCTION Volume 7 Numbe 2 Winte 2008 39 The Supply of Loanable Funds: Comment on the Misconception and Its Implications. Wahhab Khandke and mena Khandke* STRCT Recently Fields-Hat

More information

Faithful Comptroller s Handbook

Faithful Comptroller s Handbook Faithful Comptolle s Handbook Faithful Comptolle s Handbook Selection of Faithful Comptolle The Laws govening the Fouth Degee povide that the faithful comptolle be elected, along with the othe offices

More information

Firstmark Credit Union Commercial Loan Department

Firstmark Credit Union Commercial Loan Department Fistmak Cedit Union Commecial Loan Depatment Thank you fo consideing Fistmak Cedit Union as a tusted souce to meet the needs of you business. Fistmak Cedit Union offes a wide aay of business loans and

More information

The transport performance evaluation system building of logistics enterprises

The transport performance evaluation system building of logistics enterprises Jounal of Industial Engineeing and Management JIEM, 213 6(4): 194-114 Online ISSN: 213-953 Pint ISSN: 213-8423 http://dx.doi.og/1.3926/jiem.784 The tanspot pefomance evaluation system building of logistics

More information

VISCOSITY OF BIO-DIESEL FUELS

VISCOSITY OF BIO-DIESEL FUELS VISCOSITY OF BIO-DIESEL FUELS One of the key assumptions fo ideal gases is that the motion of a given paticle is independent of any othe paticles in the system. With this assumption in place, one can use

More information

FXA 2008. Candidates should be able to : Describe how a mass creates a gravitational field in the space around it.

FXA 2008. Candidates should be able to : Describe how a mass creates a gravitational field in the space around it. Candidates should be able to : Descibe how a mass ceates a gavitational field in the space aound it. Define gavitational field stength as foce pe unit mass. Define and use the peiod of an object descibing

More information

Problem Set # 9 Solutions

Problem Set # 9 Solutions Poblem Set # 9 Solutions Chapte 12 #2 a. The invention of the new high-speed chip inceases investment demand, which shifts the cuve out. That is, at evey inteest ate, fims want to invest moe. The incease

More information

Physics 235 Chapter 5. Chapter 5 Gravitation

Physics 235 Chapter 5. Chapter 5 Gravitation Chapte 5 Gavitation In this Chapte we will eview the popeties of the gavitational foce. The gavitational foce has been discussed in geat detail in you intoductoy physics couses, and we will pimaily focus

More information

Chris J. Skinner The probability of identification: applying ideas from forensic statistics to disclosure risk assessment

Chris J. Skinner The probability of identification: applying ideas from forensic statistics to disclosure risk assessment Chis J. Skinne The pobability of identification: applying ideas fom foensic statistics to disclosue isk assessment Aticle (Accepted vesion) (Refeeed) Oiginal citation: Skinne, Chis J. (2007) The pobability

More information

Semipartial (Part) and Partial Correlation

Semipartial (Part) and Partial Correlation Semipatial (Pat) and Patial Coelation his discussion boows heavily fom Applied Multiple egession/coelation Analysis fo the Behavioal Sciences, by Jacob and Paticia Cohen (975 edition; thee is also an updated

More information

Voltage ( = Electric Potential )

Voltage ( = Electric Potential ) V-1 of 9 Voltage ( = lectic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage

More information

How Much Should a Firm Borrow. Effect of tax shields. Capital Structure Theory. Capital Structure & Corporate Taxes

How Much Should a Firm Borrow. Effect of tax shields. Capital Structure Theory. Capital Structure & Corporate Taxes How Much Should a Fim Boow Chapte 19 Capital Stuctue & Copoate Taxes Financial Risk - Risk to shaeholdes esulting fom the use of debt. Financial Leveage - Incease in the vaiability of shaeholde etuns that

More information

Automatic Testing of Neighbor Discovery Protocol Based on FSM and TTCN*

Automatic Testing of Neighbor Discovery Protocol Based on FSM and TTCN* Automatic Testing of Neighbo Discovey Potocol Based on FSM and TTCN* Zhiliang Wang, Xia Yin, Haibin Wang, and Jianping Wu Depatment of Compute Science, Tsinghua Univesity Beijing, P. R. China, 100084 Email:

More information

Determining solar characteristics using planetary data

Determining solar characteristics using planetary data Detemining sola chaacteistics using planetay data Intoduction The Sun is a G type main sequence sta at the cente of the Sola System aound which the planets, including ou Eath, obit. In this inestigation

More information

Data Center Demand Response: Avoiding the Coincident Peak via Workload Shifting and Local Generation

Data Center Demand Response: Avoiding the Coincident Peak via Workload Shifting and Local Generation (213) 1 28 Data Cente Demand Response: Avoiding the Coincident Peak via Wokload Shifting and Local Geneation Zhenhua Liu 1, Adam Wieman 1, Yuan Chen 2, Benjamin Razon 1, Niangjun Chen 1 1 Califonia Institute

More information

The Role of Gravity in Orbital Motion

The Role of Gravity in Orbital Motion ! The Role of Gavity in Obital Motion Pat of: Inquiy Science with Datmouth Developed by: Chistophe Caoll, Depatment of Physics & Astonomy, Datmouth College Adapted fom: How Gavity Affects Obits (Ohio State

More information

YARN PROPERTIES MEASUREMENT: AN OPTICAL APPROACH

YARN PROPERTIES MEASUREMENT: AN OPTICAL APPROACH nd INTERNATIONAL TEXTILE, CLOTHING & ESIGN CONFERENCE Magic Wold of Textiles Octobe 03 d to 06 th 004, UBROVNIK, CROATIA YARN PROPERTIES MEASUREMENT: AN OPTICAL APPROACH Jana VOBOROVA; Ashish GARG; Bohuslav

More information

Supplementary Material for EpiDiff

Supplementary Material for EpiDiff Supplementay Mateial fo EpiDiff Supplementay Text S1. Pocessing of aw chomatin modification data In ode to obtain the chomatin modification levels in each of the egions submitted by the use QDCMR module

More information

Instituto Superior Técnico Av. Rovisco Pais, 1 1049-001 Lisboa E-mail: virginia.infante@ist.utl.pt

Instituto Superior Técnico Av. Rovisco Pais, 1 1049-001 Lisboa E-mail: virginia.infante@ist.utl.pt FATIGUE LIFE TIME PREDICTIO OF POAF EPSILO TB-30 AIRCRAFT - PART I: IMPLEMETATIO OF DIFERET CYCLE COUTIG METHODS TO PREDICT THE ACCUMULATED DAMAGE B. A. S. Seano 1, V. I. M.. Infante 2, B. S. D. Maado

More information

UNIT CIRCLE TRIGONOMETRY

UNIT CIRCLE TRIGONOMETRY UNIT CIRCLE TRIGONOMETRY The Unit Cicle is the cicle centeed at the oigin with adius unit (hence, the unit cicle. The equation of this cicle is + =. A diagam of the unit cicle is shown below: + = - - -

More information

Alarm transmission through Radio and GSM networks

Alarm transmission through Radio and GSM networks Alam tansmission though Radio and GSM netwoks 2015 Alam tansmission though Radio netwok RR-IP12 RL10 E10C E10C LAN RL1 0 R11 T10 (T10U) Windows MONAS MS NETWORK MCI > GNH > GND > +E > DATA POWER DATA BUS

More information

Left- and Right-Brain Preferences Profile

Left- and Right-Brain Preferences Profile Left- and Right-Bain Pefeences Pofile God gave man a total bain, and He expects us to pesent both sides of ou bains back to Him so that He can use them unde the diection of His Holy Spiit as He so desies

More information

ON THE (Q, R) POLICY IN PRODUCTION-INVENTORY SYSTEMS

ON THE (Q, R) POLICY IN PRODUCTION-INVENTORY SYSTEMS ON THE R POLICY IN PRODUCTION-INVENTORY SYSTEMS Saifallah Benjaafa and Joon-Seok Kim Depatment of Mechanical Engineeing Univesity of Minnesota Minneapolis MN 55455 Abstact We conside a poduction-inventoy

More information

INVESTIGATION OF FLOW INSIDE AN AXIAL-FLOW PUMP OF GV IMP TYPE

INVESTIGATION OF FLOW INSIDE AN AXIAL-FLOW PUMP OF GV IMP TYPE 1 INVESTIGATION OF FLOW INSIDE AN AXIAL-FLOW PUMP OF GV IMP TYPE ANATOLIY A. YEVTUSHENKO 1, ALEXEY N. KOCHEVSKY 1, NATALYA A. FEDOTOVA 1, ALEXANDER Y. SCHELYAEV 2, VLADIMIR N. KONSHIN 2 1 Depatment of

More information

Pessu Behavior Analysis for Autologous Fluidations

Pessu Behavior Analysis for Autologous Fluidations EXPERIENCE OF USING A CFD CODE FOR ESTIMATING THE NOISE GENERATED BY GUSTS ALONG THE SUN- ROOF OF A CAR Liang S. Lai* 1, Geogi S. Djambazov 1, Choi -H. Lai 1, Koulis A. Peicleous 1, and Fédéic Magoulès

More information

Gravitational Mechanics of the Mars-Phobos System: Comparing Methods of Orbital Dynamics Modeling for Exploratory Mission Planning

Gravitational Mechanics of the Mars-Phobos System: Comparing Methods of Orbital Dynamics Modeling for Exploratory Mission Planning Gavitational Mechanics of the Mas-Phobos System: Compaing Methods of Obital Dynamics Modeling fo Exploatoy Mission Planning Alfedo C. Itualde The Pennsylvania State Univesity, Univesity Pak, PA, 6802 This

More information

Integrating Net2 with an intruder alarm system

Integrating Net2 with an intruder alarm system Net AN035 Integating Net with an intude alam system Oveview Net can monito whethe the intude alam is set o uet If the alam is set, Net will limit access to valid uses who ae also authoised to uet the alam

More information

DYNAMICS AND STRUCTURAL LOADING IN WIND TURBINES

DYNAMICS AND STRUCTURAL LOADING IN WIND TURBINES DYNAMIS AND STRUTURAL LOADING IN WIND TURBINES M. Ragheb 12/30/2008 INTRODUTION The loading egimes to which wind tubines ae subject to ae extemely complex equiing special attention in thei design, opeation

More information

Thank you for participating in Teach It First!

Thank you for participating in Teach It First! Thank you fo paticipating in Teach It Fist! This Teach It Fist Kit contains a Common Coe Suppot Coach, Foundational Mathematics teache lesson followed by the coesponding student lesson. We ae confident

More information

Modal Characteristics study of CEM-1 Single-Layer Printed Circuit Board Using Experimental Modal Analysis

Modal Characteristics study of CEM-1 Single-Layer Printed Circuit Board Using Experimental Modal Analysis Available online at www.sciencediect.com Pocedia Engineeing 41 (2012 ) 1360 1366 Intenational Symposium on Robotics and Intelligent Sensos 2012 (IRIS 2012) Modal Chaacteistics study of CEM-1 Single-Laye

More information

CRRC-1 Method #1: Standard Practice for Measuring Solar Reflectance of a Flat, Opaque, and Heterogeneous Surface Using a Portable Solar Reflectometer

CRRC-1 Method #1: Standard Practice for Measuring Solar Reflectance of a Flat, Opaque, and Heterogeneous Surface Using a Portable Solar Reflectometer CRRC- Method #: Standad Pactice fo Measuing Sola Reflectance of a Flat, Opaque, and Heteogeneous Suface Using a Potable Sola Reflectomete Scope This standad pactice coves a technique fo estimating the

More information

Lecture 16: Color and Intensity. and he made him a coat of many colours. Genesis 37:3

Lecture 16: Color and Intensity. and he made him a coat of many colours. Genesis 37:3 Lectue 16: Colo and Intensity and he made him a coat of many colous. Genesis 37:3 1. Intoduction To display a pictue using Compute Gaphics, we need to compute the colo and intensity of the light at each

More information

Lab #7: Energy Conservation

Lab #7: Energy Conservation Lab #7: Enegy Consevation Photo by Kallin http://www.bungeezone.com/pics/kallin.shtml Reading Assignment: Chapte 7 Sections 1,, 3, 5, 6 Chapte 8 Sections 1-4 Intoduction: Pehaps one of the most unusual

More information

A framework for the selection of enterprise resource planning (ERP) system based on fuzzy decision making methods

A framework for the selection of enterprise resource planning (ERP) system based on fuzzy decision making methods A famewok fo the selection of entepise esouce planning (ERP) system based on fuzzy decision making methods Omid Golshan Tafti M.s student in Industial Management, Univesity of Yazd Omidgolshan87@yahoo.com

More information

Automated Hydraulic Drilling Rigs. HHSeries

Automated Hydraulic Drilling Rigs. HHSeries Automated Hydaulic Dilling Rigs HHSeies The Shape of Things to Come CUSTOMSOLUTIONS HH600 Rig The HH Hydaulic Hoist Seies Eveything about the HH Seies is designed fo speed, safety and efficiency. You can

More information

UNIVERSIDAD DE CANTABRIA TESIS DOCTORAL

UNIVERSIDAD DE CANTABRIA TESIS DOCTORAL UNIVERSIDAD DE CANABRIA Depatamento de Ingenieía de Comunicaciones ESIS DOCORAL Cyogenic echnology in the Micowave Engineeing: Application to MIC and MMIC Vey Low Noise Amplifie Design Juan Luis Cano de

More information

Chapter 30: Magnetic Fields Due to Currents

Chapter 30: Magnetic Fields Due to Currents d Chapte 3: Magnetic Field Due to Cuent A moving electic chage ceate a magnetic field. One of the moe pactical way of geneating a lage magnetic field (.1-1 T) i to ue a lage cuent flowing though a wie.

More information

INITIAL MARGIN CALCULATION ON DERIVATIVE MARKETS OPTION VALUATION FORMULAS

INITIAL MARGIN CALCULATION ON DERIVATIVE MARKETS OPTION VALUATION FORMULAS INITIAL MARGIN CALCULATION ON DERIVATIVE MARKETS OPTION VALUATION FORMULAS Vesion:.0 Date: June 0 Disclaime This document is solely intended as infomation fo cleaing membes and othes who ae inteested in

More information

The force between electric charges. Comparing gravity and the interaction between charges. Coulomb s Law. Forces between two charges

The force between electric charges. Comparing gravity and the interaction between charges. Coulomb s Law. Forces between two charges The foce between electic chages Coulomb s Law Two chaged objects, of chage q and Q, sepaated by a distance, exet a foce on one anothe. The magnitude of this foce is given by: kqq Coulomb s Law: F whee

More information

AN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM

AN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM AN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM Main Golub Faculty of Electical Engineeing and Computing, Univesity of Zageb Depatment of Electonics, Micoelectonics,

More information

AP Physics Electromagnetic Wrap Up

AP Physics Electromagnetic Wrap Up AP Physics Electomagnetic Wap Up Hee ae the gloious equations fo this wondeful section. F qsin This is the equation fo the magnetic foce acting on a moing chaged paticle in a magnetic field. The angle

More information

9:6.4 Sample Questions/Requests for Managing Underwriter Candidates

9:6.4 Sample Questions/Requests for Managing Underwriter Candidates 9:6.4 INITIAL PUBLIC OFFERINGS 9:6.4 Sample Questions/Requests fo Managing Undewite Candidates Recent IPO Expeience Please povide a list of all completed o withdawn IPOs in which you fim has paticipated

More information

Review Graph based Online Store Review Spammer Detection

Review Graph based Online Store Review Spammer Detection Review Gaph based Online Stoe Review Spamme Detection Guan Wang, Sihong Xie, Bing Liu, Philip S. Yu Univesity of Illinois at Chicago Chicago, USA gwang26@uic.edu sxie6@uic.edu liub@uic.edu psyu@uic.edu

More information

How to SYSPREP a Windows 7 Pro corporate PC setup so you can image it for use on future PCs

How to SYSPREP a Windows 7 Pro corporate PC setup so you can image it for use on future PCs AnswesThatWok TM How to SYSPREP a Windows 7 Po copoate PC setup so you can image it fo use on futue PCs In a copoate envionment most PCs will usually have identical setups, with the same pogams installed

More information

The impact of migration on the provision. of UK public services (SRG.10.039.4) Final Report. December 2011

The impact of migration on the provision. of UK public services (SRG.10.039.4) Final Report. December 2011 The impact of migation on the povision of UK public sevices (SRG.10.039.4) Final Repot Decembe 2011 The obustness The obustness of the analysis of the is analysis the esponsibility is the esponsibility

More information

Towards Realizing a Low Cost and Highly Available Datacenter Power Infrastructure

Towards Realizing a Low Cost and Highly Available Datacenter Power Infrastructure Towads Realizing a Low Cost and Highly Available Datacente Powe Infastuctue Siam Govindan, Di Wang, Lydia Chen, Anand Sivasubamaniam, and Bhuvan Ugaonka The Pennsylvania State Univesity. IBM Reseach Zuich

More information

SUPPORT VECTOR MACHINE FOR BANDWIDTH ANALYSIS OF SLOTTED MICROSTRIP ANTENNA

SUPPORT VECTOR MACHINE FOR BANDWIDTH ANALYSIS OF SLOTTED MICROSTRIP ANTENNA Intenational Jounal of Compute Science, Systems Engineeing and Infomation Technology, 4(), 20, pp. 67-7 SUPPORT VECTOR MACHIE FOR BADWIDTH AALYSIS OF SLOTTED MICROSTRIP ATEA Venmathi A.R. & Vanitha L.

More information

The LCOE is defined as the energy price ($ per unit of energy output) for which the Net Present Value of the investment is zero.

The LCOE is defined as the energy price ($ per unit of energy output) for which the Net Present Value of the investment is zero. Poject Decision Metics: Levelized Cost of Enegy (LCOE) Let s etun to ou wind powe and natual gas powe plant example fom ealie in this lesson. Suppose that both powe plants wee selling electicity into the

More information

Equity compensation plans New Income Statement impact on guidance Earnings Per Share Questions and answers

Equity compensation plans New Income Statement impact on guidance Earnings Per Share Questions and answers Investos/Analysts Confeence: Accounting Wokshop Agenda Equity compensation plans New Income Statement impact on guidance Eanings Pe Shae Questions and answes IAC03 / a / 1 1 Equity compensation plans The

More information

DIFFERENT TYPES OF HUMAN HEAD SHAPES FOR CELLULAR PHONE EXPOSURE ON ELECTROMAGNETIC ABSORPTION

DIFFERENT TYPES OF HUMAN HEAD SHAPES FOR CELLULAR PHONE EXPOSURE ON ELECTROMAGNETIC ABSORPTION DIFFERENT TYPES OF HUMAN HEAD SHAPES FOR CELLULAR PHONE EXPOSURE ON ELECTROMAGNETIC ABSORPTION Mohammad Rashed Iqbal Fauque* #1, Mohammad Taiqul Islam* 2, Nobahiah Misan* #3 * Institute of Space Science

More information

Gravitation. AP Physics C

Gravitation. AP Physics C Gavitation AP Physics C Newton s Law of Gavitation What causes YOU to be pulled down? THE EARTH.o moe specifically the EARTH S MASS. Anything that has MASS has a gavitational pull towads it. F α Mm g What

More information

CHAPTER 10 Aggregate Demand I

CHAPTER 10 Aggregate Demand I CHAPTR 10 Aggegate Demand I Questions fo Review 1. The Keynesian coss tells us that fiscal policy has a multiplied effect on income. The eason is that accoding to the consumption function, highe income

More information

Definitions and terminology

Definitions and terminology I love the Case & Fai textbook but it is out of date with how monetay policy woks today. Please use this handout to supplement the chapte on monetay policy. The textbook assumes that the Fedeal Reseve

More information

An Analysis of Manufacturer Benefits under Vendor Managed Systems

An Analysis of Manufacturer Benefits under Vendor Managed Systems An Analysis of Manufactue Benefits unde Vendo Managed Systems Seçil Savaşaneil Depatment of Industial Engineeing, Middle East Technical Univesity, 06531, Ankaa, TURKEY secil@ie.metu.edu.t Nesim Ekip 1

More information

Multiband Microstrip Patch Antenna for Microwave Applications

Multiband Microstrip Patch Antenna for Microwave Applications IOSR Jounal of Electonics and Communication Engineeing (IOSR-JECE) ISSN: 2278-2834, ISBN: 2278-8735. Volume 3, Issue 5 (Sep. - Oct. 2012), PP 43-48 Multiband Micostip Patch Antenna fo Micowave Applications

More information

Carter-Penrose diagrams and black holes

Carter-Penrose diagrams and black holes Cate-Penose diagams and black holes Ewa Felinska The basic intoduction to the method of building Penose diagams has been pesented, stating with obtaining a Penose diagam fom Minkowski space. An example

More information

Transmittal 198 Date: DECEMBER 9, 2005. SUBJECT: Termination of the Existing Eligibility-File Based Crossover Process at All Medicare Contractors

Transmittal 198 Date: DECEMBER 9, 2005. SUBJECT: Termination of the Existing Eligibility-File Based Crossover Process at All Medicare Contractors anual ystem Depatment of ealth & uman evices (D) entes fo edicae & Pub 100-20 One-Time Notification edicaid evices () Tansmittal 198 Date: DEEBE 9, 2005 hange equest 4231 UBJET: Temination of the Existing

More information

HEALTHCARE INTEGRATION BASED ON CLOUD COMPUTING

HEALTHCARE INTEGRATION BASED ON CLOUD COMPUTING U.P.B. Sci. Bull., Seies C, Vol. 77, Iss. 2, 2015 ISSN 2286-3540 HEALTHCARE INTEGRATION BASED ON CLOUD COMPUTING Roxana MARCU 1, Dan POPESCU 2, Iulian DANILĂ 3 A high numbe of infomation systems ae available

More information