Your Comments. during the last couple lectures its been getting really noisy and hard to hear, especially for the last couple rows.


 Lora Joseph
 1 years ago
 Views:
Transcription
1 You Comments lease explain the ight hand ule when thee ae two wies and ou ae ting to find the diection of the foce I am getting confused with all these ight hand ules So do ou have an ageold advice fo Unofficial? Afte Tuesdas lectue I felt like I undestood the toque stuff, but as soon as I stated going though these checkpoint questions I felt like I was in Memento and hadnt taken a single polaoid on Tuesda Can ou explain mathematicall, o at least qualitativel, the deivation/intuition of the iot Savat Law? I feel the pelectue pesented it in a "tust us that this is tue" fashion duing the last couple lectues its been getting eall nois and had to hea, especiall fo the last couple ows The eason thee is such a discepanc between checkpoint scoes and i>clicke scoes is that thee is no incentive to do well on checkpoints, so most people simpl click andom answes and submit them Not that I'm encouaging ou to give points fo accuac on checkpoints Is it oka to sa that the field poduced b a loop will be paallel (o anti paallel) to mu vecto of the loop cause mu and want to be aligned? Also if Efields and fields ae elated b Loent boosts, ae mu naught and epsilon naught elated? M oommate and I ae having a competition to see who can get on the boad moe, since I didn't just click though the pelectue like SOMEONE, I think I deseve a shoutout Electicit & Magnetism Lectue 14, Slide 1
2 Ae we going to have to constantl deive the iotsavat law fo infinite wies with cuent (much like how we constantl used Gauss's Law to find the Efield fo vaious sphees/clindes), o is the (μ_o*i)/(2π) equation something we will use staight off the bat? hsics 212 Lectue 14 Toda s Concept: iotsavat Law d 0I d s ˆ 2 4 Electicit & Magnetism Lectue 14, Slide 2
3 F Right Hand Rule Review 1 ANY CROSS RODUCT qv F d F IL ˆ 0I d s Diection of Magnetic Moment Finges: Cuent in Loop Thumb: Magnetic Moment 3 Diection of Magnetic Field fom Wie Finges: Magnetic Field Thumb: Cuent Electicit & Magnetism Lectue 14, Slide 3
4 What is it? Fundamental law fo detemining the diection and magnitude of the magnetic field due to an element of cuent iotsavat Law: d 0I ds ˆ 2 4 We can use this law to calculate the magnetic field poduced b ANY cuent distibution UT Eas analtic calculations ae possible onl fo a few distibutions: Axis of Cuent Loop Infinite Staight Wie lan fo Toda: Mainl use the esults of these calculations! GOOD NEWS: Remembe Gauss Law? Allowed us to calculate E fo smmetical chage distibutions NEXT TIME: Intoduce Ampee s Law Allows us to calculate fo smmetical cuent distibutions Electicit & Magnetism Lectue 14, Slide 4
5 Magnitude: fom Infinite Line of Cuent Integating 0I Tm/ A distance fom wie d 4 0I d s ˆ 2 gives esult Cuent I OUT Diection: Thumb: on I Finges: cul in diection of Electicit & Magnetism Lectue 14, Slide 5
6 Cuents + Chages A long staight wie is caing cuent fom left to ight Two identical chages ae moving with equal speed Compae the magnitude of the foce on chage a moving diectl to the ight, to the magnitude of the foce on chage b moving up and to the ight at the instant shown (ie same distance fom the wie) A) F a > F b ) F a F b C) F a < F b (a) F v (b) Foces ae in diffeent diections v F F qv F qvsinq Same q, v, and q (90) I Electicit & Magnetism Lectue 14, Slide 6
7 Adding Magnetic Fields Two long wies ca opposite cuent x What is the diection of the magnetic field above, and midwa between the two wies caing cuent at the point maked X? A) Left ) Right C) Up D) Down E) Zeo x Electicit & Magnetism Lectue 14, Slide 7
8 Foce etween CuentCaing Wies I towads d F 12 I 2 L F 12 I 2 L o 2d I 1 us Anothe I towads us F Conclusion: Cuents in same diection attact! I towads us d F Anothe I awa fom us Conclusion: Cuents in opposite diection epel! Electicit & Magnetism Lectue 14, Slide 8
9 Checkoint 1 X F What is the diection of the foce on wie 2 due to wie 1? A) Up ) Down C) Into Sceen D) Out of sceen E) Zeo 2 wies with samediection cuents ae attacted What is the diection of the toque on wie 2 due to wie 1? A) Up ) Down C) Into Sceen D) Out of sceen E) Zeo Unifom foce at eve segment of wie No toque about an axis If two wies ae caing cuent, and we ae asked to detemine the diection of net toque on one wie (Checkpoint Question 1 at 3), how do we detemine the diection of the vecto?
10 Checkoint 3 What is the diection of the foce on wie 2 due to wie 1? A) Up ) Down C) Into Sceen D) Out of sceen E) Zeo WHY? DRAW ICTURE! Electicit & Magnetism Lectue 14, Slide 10
11 Conside Foce on Smmetic Segments I F out of sceen I F into sceen Net Foce is Zeo! Electicit & Magnetism Lectue 14, Slide 11
12 Checkoint 3b What is toque on wie 2, due to wie 1? Thee is a net foce on the ight side pointing into the sceen and a net foce on the left side pointing out of the sceen Using the ight hand ule, this means that the toque is pointing up What is the diection of the toque on wie 2 due to The wie wie 1? will t to align with wie 1 A) Up ) Down C) Into Sceen D) Out of sceen E) Zeo I I F out of sceen F into sceen Electicit & Magnetism Lectue 14, Slide 12
13 Foce on cuent loop nea wie AA loop of wie with cuent flowing in a counteclockwise diection is located to the ight of a long wie with cuent flowing up As shown below What is the diection of the net foce on the loop? A) Up ) Down C) Left D) Right E) Zeo 1 X X 2 F 1 F 2 ~ 1/R 1 > 2 F 1 > F 2 Electicit & Magnetism Lectue 14, Slide 13
14 F top + F bottom 0 Checkoint 2 A cuent caing loop of width a and length b is placed nea a cuent caing wie How does the net foce on the loop compae to the net foce on a single wie segment of length a caing the same amount of cuent placed at the same distance fom the wie? 1 X X 2 X 1 F 1 F 2 ~ 1/R 1 > 2 F1 F net A The foces A ae in opposite diections The net C foces ae the same C The net D foce on the loop is geate than the net foce on the wie segment D The net E foce on the loop is smalle than the net foce on the wie segment E Thee is no net foce on the loop Electicit & Magnetism Lectue 14, Slide 14
15 on axis fom Cuent Loop I Resulting Field Cuent in Wie Electicit & Magnetism Lectue 14, Slide 15
16 Two Cuent Loops Two identical loops ae hung next to each othe Cuent flows in the same diection in both The loops will: A) Attact each othe ) Repel each othe Two was to see this: 1) Like cuents attact 2) Look like ba magnets N S N S Electicit & Magnetism Lectue 14, Slide 17
17 Calculation Two paallel hoiontal wies ae located in the vetical (x,) plane as shown Each wie caies a cuent of I 1A flowing in the diections shown What is the field at point? I 1 1A x 3cm I 2 1A Font view Side view Conceptual Analsis Each wie ceates a magnetic field at fom infinite wie: m 0 I / 2p Total magnetic field at obtained fom supeposition Stategic Analsis Calculate at fom each wie sepaatel Total = vecto sum of individual fields Electicit & Magnetism Lectue 14, Slide 19
18 Calculation Two paallel hoiontal wies ae located in the vetical (x,) plane as shown Each wie caies a cuent of I 1A flowing in the diections shown What is the field at point? I 1 1A x 3cm I 2 1A Font view Side view What is the diection of at poduced b the top cuent I 1? A C D E Electicit & Magnetism Lectue 14, Slide 20
19 What is the diection of at poduced b the bottom cuent I 2? Calculation Two paallel hoiontal wies ae located in the vetical (x,) plane as shown Each wie caies a cuent of I 1A flowing in the diections shown What is the field at point? Font view I 1 1A I 2 1A x 3cm Side view A C D E Electicit & Magnetism Lectue 14, Slide 21
20 Calculation Two paallel hoiontal wies ae located in the vetical (x,) plane as shown Each wie caies a cuent of I 1A flowing in the diections shown What is the field at point? I 1 1A x 3cm I 2 1A What is the diection of at? Font view Side view 90 o A C D Electicit & Magnetism Lectue 14, Slide 22
21 Calculation Two paallel hoiontal wies ae located in the vetical (x,) plane as shown Each wie caies a cuent of I 1A flowing in the diections shown What is the field at point? What is the magnitude of at poduced b the top cuent I 1? ( 0 4 x 10 7 Tm/A) A) 40 x 10 6 T ) 50 x 10 6 T C) 67 x 10 6 T What is? distance fom wie axis to 0I I ỵ Font view 3cm I 1 1A I 2 1A x 3cm Side view cm Electicit & Magnetism Lectue 14, Slide 23
22 top 4 x 10 6 T What is the magnitude of at? Calculation Two paallel hoiontal wies ae located in the vetical (x,) plane as shown Each wie caies a cuent of I 1A flowing in the diections shown What is the field at point? Font view I 1 1A I 2 1A x 3cm ( 0 4 x 107 T m/a) A) 32 x 10 6 T ) 48 x 10 6 T C) 64 x 10 6 T D) 80 x 10 6 T ỵ q 5cm 3cm q q 1 q 2 1 x 1 cosq 2 x 2 cosq x cosq Electicit & Magnetism Lectue 14, Slide 24
Magnetism: a new force!
1 Magnetism: a new foce! o fa, we'e leaned about two foces: gaity and the electic field foce. F E = E, FE = E Definition of Efield kq Efields ae ceated by chages: E = 2 Efield exets a foce on othe
More informationSamples of conceptual and analytical/numerical questions from chap 21, C&J, 7E
CHAPTER 1 Magnetism CONCEPTUAL QUESTIONS Cutnell & Johnson 7E 3. ssm A chaged paticle, passing though a cetain egion of space, has a velocity whose magnitude and diection emain constant, (a) If it is known
More informationProblems on Force Exerted by a Magnetic Fields from Ch 26 T&M
Poblems on oce Exeted by a Magnetic ields fom Ch 6 TM Poblem 6.7 A cuentcaying wie is bent into a semicicula loop of adius that lies in the xy plane. Thee is a unifom magnetic field B Bk pependicula to
More informationForces & Magnetic Dipoles. r r τ = μ B r
Foces & Magnetic Dipoles x θ F θ F. = AI τ = U = Fist electic moto invented by Faaday, 1821 Wie with cuent flow (in cup of Hg) otates aound a a magnet Faaday s moto Wie with cuent otates aound a Pemanent
More informationYour Comments. did not understand any of this wtf. so over my head I have no idea what I am doing :(
You Comments Llamas, and why it is so difficult to get someone to buy me one as a pet. All ask is that it beathes fie. have simple needs people. Seiously. p.s. this lectue was had. did not undestand any
More informationChapter 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 (.11 T) i to ue a lage cuent flowing though a wie.
More informationAPC Magnetism. APC Objectives (from College Board Learning Objectives for AP Physics)
APC Magnetism APC (fom Coege oad Leaning fo AP Physics) 1. oces on moving chages in magnetic fieds a. Cacuate the magnitude and diection of the foce in tems of q, v, and, and expain why the magnetic
More informationMoment and couple. In 3D, because the determination of the distance can be tedious, a vector approach becomes advantageous. r r
Moment and couple In 3D, because the detemination of the distance can be tedious, a vecto appoach becomes advantageous. o k j i M k j i M o ) ( ) ( ) ( + + M o M + + + + M M + O A Moment about an abita
More informationGauss Law in dielectrics
Gauss Law in dielectics We fist deive the diffeential fom of Gauss s law in the pesence of a dielectic. Recall, the diffeential fom of Gauss Law is This law is always tue. E In the pesence of dielectics,
More informationGauss Law. Physics 231 Lecture 21
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 informationChapter F. Magnetism. Blinn College  Physics Terry Honan
Chapte F Magnetism Blinn College  Physics 46  Tey Honan F.  Magnetic Dipoles and Magnetic Fields Electomagnetic Duality Thee ae two types of "magnetic chage" o poles, Noth poles N and South poles S.
More informationPhysics 202, Lecture 4. Gauss s Law: Review
Physics 202, Lectue 4 Today s Topics Review: Gauss s Law Electic Potential (Ch. 25Pat I) Electic Potential Enegy and Electic Potential Electic Potential and Electic Field Next Tuesday: Electic Potential
More informationMagnetic 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 informationChapter 26  Electric Field. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University
Chapte 6 lectic Field A PowePoint Pesentation by Paul. Tippens, Pofesso of Physics Southen Polytechnic State Univesity 7 Objectives: Afte finishing this unit you should be able to: Define the electic field
More informationProblem Set 6: Solutions
UNIVESITY OF ALABAMA Depatment of Physics and Astonomy PH 164 / LeClai Fall 28 Poblem Set 6: Solutions 1. Seway 29.55 Potons having a kinetic enegy of 5. MeV ae moving in the positive x diection and ente
More informationVoltage ( = Electric Potential )
V1 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 informationVector Calculus: Are you ready? Vectors in 2D and 3D Space: Review
Vecto Calculus: Ae you eady? Vectos in D and 3D Space: Review Pupose: Make cetain that you can define, and use in context, vecto tems, concepts and fomulas listed below: Section 7.7. find the vecto defined
More informationPhysics 107 HOMEWORK ASSIGNMENT #14
Physics 107 HOMEWORK ASSIGNMENT #14 Cutnell & Johnson, 7 th edition Chapte 17: Poblem 44, 60 Chapte 18: Poblems 14, 18, 8 **44 A tube, open at only one end, is cut into two shote (nonequal) lengths. The
More informationA couple is a pair of forces, equal in magnitude, oppositely directed, and displaced by perpendicular distance, d. F A F B (= F A
5 Moment of a Couple Ref: Hibbele 4.6, edfod & Fowle: Statics 4.4 couple is a pai of foces, equal in magnitude, oppositely diected, and displaced by pependicula distance, d. d (=  ) Since the foces ae
More informationAP 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 informationChapter 13 Gravitation. Problems: 1, 4, 5, 7, 18, 19, 25, 29, 31, 33, 43
Chapte 13 Gavitation Poblems: 1, 4, 5, 7, 18, 19, 5, 9, 31, 33, 43 Evey object in the univese attacts evey othe object. This is called gavitation. We e use to dealing with falling bodies nea the Eath.
More informationMagnetism. The Magnetic Force. B x x x x x x x x x x x x v x x x x x x. F = q
Magnetism The Magnetic Foce F = qe + qv x x x x x x x x x x x x v x x x x x x F q v q F v F = q 0 IM intoduced the fist had disk in 1957, when data usually was stoed on tapes. It consisted of 50 plattes,
More informationVoltage ( = Electric Potential )
V1 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 informationPoynting Vector and Energy Flow in a Capacitor Challenge Problem Solutions
Poynting Vecto an Enegy Flow in a Capacito Challenge Poblem Solutions Poblem 1: A paallelplate capacito consists of two cicula plates, each with aius R, sepaate by a istance. A steay cuent I is flowing
More informationThe 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 informationDeflection 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 informationXIIth PHYSICS (C2, G2, C, G) Solution
XIIth PHYSICS (C, G, C, G) 6 Solution. A 5 W, 0 V bulb and a 00 W, 0 V bulb ae connected in paallel acoss a 0 V line nly 00 watt bulb will fuse nly 5 watt bulb will fuse Both bulbs will fuse None of
More informationPhysics 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 informationF = kq 1q 2 r 2. F 13 = k( q)(2q) 2a 2 cosθˆx + sinθŷ F 14 = k( 2q)(2q) F 12 = k(q)(2q) a 2. tanθ = a a
.1 What ae the hoizontal and vetical components of the esultant electostatic foce on the chage in the lowe left cone of the squae if q =1. 1 7 and a =5.cm? +q q a +q a q F = kq 1q F 1 = k(q)(q) a F 13
More information12. Rolling, Torque, and Angular Momentum
12. olling, Toque, and Angula Momentum 1 olling Motion: A motion that is a combination of otational and tanslational motion, e.g. a wheel olling down the oad. Will only conside olling with out slipping.
More informationGeneral Physics (PHY 2130)
Geneal Physics (PHY 130) Lectue 11 Rotational kinematics and unifom cicula motion Angula displacement Angula speed and acceleation http://www.physics.wayne.edu/~apetov/phy130/ Lightning Review Last lectue:
More informationLesson 8 Ampère s Law and Differential Operators
Lesson 8 Ampèe s Law and Diffeential Opeatos Lawence Rees 7 You ma make a single cop of this document fo pesonal use without witten pemission 8 Intoduction Thee ae significant diffeences between the electic
More informationSolution Derivations for Capa #8
Solution Deivations fo Capa #8 1) A ass spectoete applies a voltage of 2.00 kv to acceleate a singly chaged ion (+e). A 0.400 T field then bends the ion into a cicula path of adius 0.305. What is the ass
More informationSo we ll start with Angular Measure. Consider a particle moving in a circular path. (p. 220, Figure 7.1)
Lectue 17 Cicula Motion (Chapte 7) Angula Measue Angula Speed and Velocity Angula Acceleation We ve aleady dealt with cicula motion somewhat. Recall we leaned about centipetal acceleation: when you swing
More informationCharges, Coulomb s Law, and Electric Fields
Q&E 1 Chages, Coulomb s Law, and Electic ields Some expeimental facts: Expeimental fact 1: Electic chage comes in two types, which we call (+) and ( ). An atom consists of a heavy (+) chaged nucleus suounded
More informationPY1052 Problem Set 8 Autumn 2004 Solutions
PY052 Poblem Set 8 Autumn 2004 Solutions H h () A solid ball stats fom est at the uppe end of the tack shown and olls without slipping until it olls off the ighthand end. If H 6.0 m and h 2.0 m, what
More informationLab 5: Circular Motion
Lab 5: Cicula motion Physics 193 Fall 2006 Lab 5: Cicula Motion I. Intoduction The lab today involves the analysis of objects that ae moving in a cicle. Newton s second law as applied to cicula motion
More information2008 QuarterFinal Exam Solutions
2008 Quatefinal Exam  Solutions 1 2008 QuateFinal Exam Solutions 1 A chaged paticle with chage q and mass m stats with an initial kinetic enegy K at the middle of a unifomly chaged spheical egion of
More informationEXPERIMENT 16 THE MAGNETIC MOMENT OF A BAR MAGNET AND THE HORIZONTAL COMPONENT OF THE EARTH S MAGNETIC FIELD
260 161. THEORY EXPERMENT 16 THE MAGNETC MOMENT OF A BAR MAGNET AND THE HORZONTAL COMPONENT OF THE EARTH S MAGNETC FELD The uose of this exeiment is to measue the magnetic moment μ of a ba magnet and
More informationChapter 22. Outside a uniformly charged sphere, the field looks like that of a point charge at the center of the sphere.
Chapte.3 What is the magnitude of a point chage whose electic field 5 cm away has the magnitude of.n/c. E E 5.56 1 11 C.5 An atom of plutonium39 has a nuclea adius of 6.64 fm and atomic numbe Z94. Assuming
More informationMAGNETIC FIELDS AND FORCES 24
MAGNETIC FIELDS AND FORCES 24 Q24.1. Reason: When a ba magnet is bought nea the cente of anothe ba magnet as shown in Figue Q24.1, the foce between the ba magnets is zeo. The attactive foce between the
More informationExam 3: Equation Summary
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Depatment of Physics Physics 8.1 TEAL Fall Tem 4 Momentum: p = mv, F t = p, Fext ave t= t f t= Exam 3: Equation Summay total = Impulse: I F( t ) = p Toque: τ = S S,P
More informationrotation  Conservation of mechanical energy for rotation  Angular momentum  Conservation of angular momentum
Final Exam Duing class (13:55 pm) on 6/7, Mon Room: 41 FMH (classoom) Bing scientific calculatos No smat phone calculatos l ae allowed. Exam coves eveything leaned in this couse. Review session: Thusday
More informationChapter 23: Gauss s Law
Chapte 3: Gauss s Law Homewok: Read Chapte 3 Questions, 5, 1 Poblems 1, 5, 3 Gauss s Law Gauss s Law is the fist of the fou Maxwell Equations which summaize all of electomagnetic theoy. Gauss s Law gives
More informationMechanics 1: Motion in a Central Force Field
Mechanics : Motion in a Cental Foce Field We now stud the popeties of a paticle of (constant) ass oving in a paticula tpe of foce field, a cental foce field. Cental foces ae ve ipotant in phsics and engineeing.
More informationMon., 3/9 Tues., 3/10 Wed., 3/11 Thurs., 3/12 Fri., 3/ 13. RE19 HW19:RQ.42, 49, 52; P.61, 66, 69 RE20, Exp new RE ,34 Magnetic Force
Mon., 3/9 Tues., 3/10 Wed., 3/11 Thus., 3/12 Fi., 3/ 13 Mon., 3/16 Tues., 3/17 Wed., 3/18 Thus., 3/19 Fi., 3/20 20.1,34 Magnetic Foce 20.2,5 Cuent and Motional Emf Quiz Ch 19, Lab 8 Cycloton & Electon
More informationThe 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 informationHour Exam No.1. p 1 v. p = e 0 + v^b. Note that the probe is moving in the direction of the unit vector ^b so the velocity vector is just ~v = v^b and
Hou Exam No. Please attempt all of the following poblems befoe the due date. All poblems count the same even though some ae moe complex than othes. Assume that c units ae used thoughout. Poblem A photon
More informationTALLINN UNIVERSITY OF TECHNOLOGY, INSTITUTE OF PHYSICS 14. NEWTON'S RINGS
4. NEWTON'S RINGS. Obective Detemining adius of cuvatue of a long focal length planoconvex lens (lage adius of cuvatue).. Equipment needed Measuing micoscope, planoconvex long focal length lens, monochomatic
More informationRevision Guide for Chapter 11
Revision Guide fo Chapte 11 Contents Student s Checklist Revision Notes Momentum... 4 Newton's laws of motion... 4 Gavitational field... 5 Gavitational potential... 6 Motion in a cicle... 7 Summay Diagams
More informationCoordinate Systems L. M. Kalnins, March 2009
Coodinate Sstems L. M. Kalnins, Mach 2009 Pupose of a Coodinate Sstem The pupose of a coodinate sstem is to uniquel detemine the position of an object o data point in space. B space we ma liteall mean
More informationLecture 3 1/16. Torque on a Dipole. The magnitude of the torque: center of mass. Fsin F Q. dipole moment. torque points into the page
Lectue 3 /6 Toque on Dipole F F sin The mgnitude of the toque: Fsin d Fsin psin p ( d Fsin d qsin F  d F θ cente of mss dipole moment p q d toque points into the pge Lectue 3 /6 uiz uestion An electic
More informationMultiple choice questions [70 points]
Multiple choice questions [70 points] Answe all of the following questions. Read each question caefull. Fill the coect bubble on ou scanton sheet. Each question has exactl one coect answe. All questions
More informationPY1052 Problem Set 3 Autumn 2004 Solutions
PY1052 Poblem Set 3 Autumn 2004 Solutions C F = 8 N F = 25 N 1 2 A A (1) A foce F 1 = 8 N is exeted hoizontally on block A, which has a mass of 4.5 kg. The coefficient of static fiction between A and the
More informationThe 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 informationChapter 13 Gravitation
Chapte 13 Gavitation Newton, who extended the concept of inetia to all bodies, ealized that the moon is acceleating and is theefoe subject to a centipetal foce. He guessed that the foce that keeps the
More informationTrigonometric Functions of Any Angle
Tigonomet Module T2 Tigonometic Functions of An Angle Copight This publication The Nothen Albeta Institute of Technolog 2002. All Rights Reseved. LAST REVISED Decembe, 2008 Tigonometic Functions of An
More informationExperiment 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 informationModern Linear Algebra
Hochschule fü Witschaft und Recht Belin Belin School of Economics and Law Wintesemeste 04/05 D. Hon Mathematics fo Business and Economics LVN. 0069.0 Moden Linea Algeba (A Geometic Algeba cash couse,
More informationPHYSICS 111 HOMEWORK SOLUTION #5. March 3, 2013
PHYSICS 111 HOMEWORK SOLUTION #5 Mach 3, 2013 0.1 You 3.80kg physics book is placed next to you on the hoizontal seat of you ca. The coefficient of static fiction between the book and the seat is 0.650,
More informationLearning Objectives. Decreasing size. ~10 3 m. ~10 6 m. ~10 10 m 1/22/2013. Describe ionic, covalent, and metallic, hydrogen, and van der Waals bonds.
Lectue #0 Chapte Atomic Bonding Leaning Objectives Descibe ionic, covalent, and metallic, hydogen, and van de Waals bonds. Which mateials exhibit each of these bonding types? What is coulombic foce of
More informationLesson 9 Dipoles and Magnets
Lesson 9 Dipoles and Magnets Lawence B. Rees 007. You may make a single copy of this document fo pesonal use without witten pemission. 9.0 Intoduction In this chapte we will lean about an assotment of
More informationUnit Vectors. the unit vector rˆ. Thus, in the case at hand, 5.00 rˆ, means 5.00 m/s at 36.0.
Unit Vectos What is pobabl the most common mistake involving unit vectos is simpl leaving thei hats off. While leaving the hat off a unit vecto is a nast communication eo in its own ight, it also leads
More informationPhysics 111 Fall 2007 Electrostatic Forces and the Electric Field  Solutions
Physics 111 Fall 007 Electostatic Foces an the Electic Fiel  Solutions 1. Two point chages, 5 µc an 8 µc ae 1. m apat. Whee shoul a thi chage, equal to 5 µc, be place to make the electic fiel at the
More informationChapter 22 The Electric Field II: Continuous Charge Distributions
Chapte The lectic Field II: Continuous Chage Distibutions 1 [M] A unifom line chage that has a linea chage density l equal to.5 nc/m is on the x axis between x and x 5. m. (a) What is its total chage?
More informationThe Grating Spectrometer and Atomic Spectra
PHY 19 Gating Spectomete 1 The Gating Spectomete and Atomic Specta Intoduction In the pevious expeiment diffaction and intefeence wee discussed and at the end a diffaction gating was intoduced. In this
More informationReview Module: Dot Product
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Depatment of Physics 801 Fall 2009 Review Module: Dot Poduct We shall intoduce a vecto opeation, called the dot poduct o scala poduct that takes any two vectos and
More informationCopyright 2008 Pearson Education, Inc., publishing as Pearson AddisonWesley.
Chapte 5. Foce and Motion In this chapte we study causes of motion: Why does the windsufe blast acoss the wate in the way he does? The combined foces of the wind, wate, and gavity acceleate him accoding
More information9. Mathematics Practice Paper for Class XII (CBSE) Available Online Tutoring for students of classes 4 to 12 in Physics, Chemistry, Mathematics
Available Online Tutoing fo students of classes 4 to 1 in Physics, 9. Mathematics Class 1 Pactice Pape 1 3 1. Wite the pincipal value of cos.. Wite the ange of the pincipal banch of sec 1 defined on the
More informationPhysics: Electromagnetism Spring PROBLEM SET 6 Solutions
Physics: Electomagnetism Sping 7 Physics: Electomagnetism Sping 7 PROBEM SET 6 Solutions Electostatic Enegy Basics: Wolfson and Pasachoff h 6 Poblem 7 p 679 Thee ae si diffeent pais of equal chages and
More informationMechanics 1: Work, Power and Kinetic Energy
Mechanics 1: Wok, Powe and Kinetic Eneg We fist intoduce the ideas of wok and powe. The notion of wok can be viewed as the bidge between Newton s second law, and eneg (which we have et to define and discuss).
More informationEpisode 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 informationChapter 2. Electrostatics
Chapte. Electostatics.. The Electostatic Field To calculate the foce exeted by some electic chages,,, 3,... (the souce chages) on anothe chage Q (the test chage) we can use the pinciple of supeposition.
More informationInternal Resistance of cell & Combinations of Cells By R. S. Saini. (M.Sc. Physics, M.Ed.) Kendriya Vidyalaya, Sector 47, Chandigarh
ntenal Resistance of cell & Combinations of Cells 01.06.09 By R. S. Saini (M.Sc. Physics, M.d.) Kendiya idyalaya, Secto 47, Chandigah 9417071540 Souces of emf: The electo motive foce is the maximum potential
More informationSkills 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 informationExperiment MF Magnetic Force
Expeiment MF Magnetic Foce Intoduction The magnetic foce on a cuentcaying conducto is basic to evey electic moto  tuning the hands of electic watches and clocks, tanspoting tape in Walkmans, stating
More information81 Newton s Law of Universal Gravitation
81 Newton s Law of Univesal Gavitation One of the most famous stoies of all time is the stoy of Isaac Newton sitting unde an apple tee and being hit on the head by a falling apple. It was this event,
More informationInsight: If the angular speed of the fan blade were to double to 24 rad/s, the kinetic energy would quadruple to 16 J.
HOMEWORK Capte 0 57. Pictue te Poblem e an blade otates about its ais wit a constant angula speed. Stateg Use equation 07 o te kinetic eneg o a otating object to solve o te moment o inetia. Solution Solve
More informationUNIT 21: ELECTRICAL AND GRAVITATIONAL POTENTIAL Approximate time two 100minute sessions
Name St.No.  Date(YY/MM/DD) / / Section Goup# UNIT 21: ELECTRICAL AND GRAVITATIONAL POTENTIAL Appoximate time two 100minute sessions OBJECTIVES I began to think of gavity extending to the ob of the moon,
More informationLesson 7 Gauss s Law and Electric Fields
Lesson 7 Gauss s Law and Electic Fields Lawence B. Rees 7. You may make a single copy of this document fo pesonal use without witten pemission. 7. Intoduction While it is impotant to gain a solid conceptual
More informationUNIT 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 informationChapter 3: Vectors and Coordinate Systems
Coodinate Systems Chapte 3: Vectos and Coodinate Systems Used to descibe the position of a point in space Coodinate system consists of a fied efeence point called the oigin specific aes with scales and
More informationA r. (Can you see that this just gives the formula we had above?)
241 (SJP, Phys 1120) lectic flux, and Gauss' law Finding the lectic field due to a bunch of chages is KY! Once you know, you know the foce on any chage you put down  you can pedict (o contol) motion
More informationGauss s Law. Figure 22.1 A great white shark can detect tiny electric fields generated by its prey.
lectic Fields and Gauss s Law What We Will Lean 711.1 Definition of an lectic Field 711. Field Lines 71 Point Chage 71 Two Point Chages of Opposite Sign 71 Two Point Chages with the Same Sign 71 Geneal
More informationMAGNETIC FIELD AROUND CURRENTCARRYING WIRES. point in space due to the current in a small segment ds. a for field around long wire
MAGNETC FELD AROUND CURRENTCARRYNG WRES How will we tckle this? Pln: 1 st : Will look t contibution d to the totl mgnetic field t some point in spce due to the cuent in smll segment of wie iotsvt Lw
More informationReview of Vectors. Appendix A A.1 DESCRIBING THE 3D WORLD: VECTORS. 3D Coordinates. Basic Properties of Vectors: Magnitude and Direction.
Appendi A Review of Vectos This appendi is a summa of the mathematical aspects of vectos used in electicit and magnetism. Fo a moe detailed intoduction to vectos, see Chapte 1. A.1 DESCRIBING THE 3D WORLD:
More informationOn Correlation Coefficient. The correlation coefficient indicates the degree of linear dependence of two random variables.
C.Candan EE3/53METU On Coelation Coefficient The coelation coefficient indicates the degee of linea dependence of two andom vaiables. It is defined as ( )( )} σ σ Popeties: 1. 1. (See appendi fo the poof
More informationMultiple choice questions [60 points]
1 Multiple choice questions [60 points] Answe all o the ollowing questions. Read each question caeully. Fill the coect bubble on you scanton sheet. Each question has exactly one coect answe. All questions
More informationCHAPTER 17 MAGNETIC DIPOLE MOMENT
1 CHAPTER 17 MAGNETIC DIPOLE MOMENT 17.1 Intoduction A numbe of diffeent units fo expessing magnetic dipole moment (heeafte simply magnetic moment ) ae commonly seen in the liteatue, including, fo example,
More informationGRAVITATIONAL FIELD: CHAPTER 11. The groundwork for Newton s great contribution to understanding gravity was laid by three majors players:
CHAPT 11 TH GAVITATIONAL FILD (GAVITY) GAVITATIONAL FILD: The goundwok fo Newton s geat contibution to undestanding gavity was laid by thee majos playes: Newton s Law of Gavitation o gavitational and inetial
More informationChapter 5 Review  Part I
Math 17 Chate Review Pat I Page 1 Chate Review  Pat I I. Tyes of Polynomials A. Basic Definitions 1. In the tem b m, b is called the coefficient, is called the vaiable, and m is called the eonent on the
More informationChapter 19: Electric Charges, Forces, and Fields ( ) ( 6 )( 6
Chapte 9 lectic Chages, Foces, an Fiels 6 9. One in a million (0 ) ogen molecules in a containe has lost an electon. We assume that the lost electons have been emove fom the gas altogethe. Fin the numbe
More informationIntroduction to Electric Potential
Univesiti Teknologi MARA Fakulti Sains Gunaan Intoduction to Electic Potential : A Physical Science Activity Name: HP: Lab # 3: The goal of today s activity is fo you to exploe and descibe the electic
More informationUniform Rectilinear Motion
Engineeing Mechanics : Dynamics Unifom Rectilinea Motion Fo paticle in unifom ectilinea motion, the acceleation is zeo and the elocity is constant. d d t constant t t 111 Engineeing Mechanics : Dynamics
More informationTransformations in Homogeneous Coordinates
Tansfomations in Homogeneous Coodinates (Com S 4/ Notes) YanBin Jia Aug, 6 Homogeneous Tansfomations A pojective tansfomation of the pojective plane is a mapping L : P P defined as u a b c u au + bv +
More informationFXA 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 informationGravitation. 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 informationIntroduction to Fluid Mechanics
Chapte 1 1 1.6. Solved Examples Example 1.1 Dimensions and Units A body weighs 1 Ibf when exposed to a standad eath gavity g = 3.174 ft/s. (a) What is its mass in kg? (b) What will the weight of this body
More informationTRIGONOMETRY REVIEW. The Cosines and Sines of the Standard Angles
TRIGONOMETRY REVIEW The Cosines and Sines of the Standad Angles P θ = ( cos θ, sin θ ) . ANGLES AND THEIR MEASURE In ode to define the tigonometic functions so that they can be used not only fo tiangula
More informationDisplacement, Velocity And Acceleration
Displacement, Velocity And Acceleation Vectos and Scalas Position Vectos Displacement Speed and Velocity Acceleation Complete Motion Diagams Outline Scala vs. Vecto Scalas vs. vectos Scala : a eal numbe,
More information