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


 Sheila Wilkins
 1 years ago
 Views:
Transcription
1 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 k is a constant: 9 9 k N m / C 9 0 N m / C The diection of the foce is towad the second object if the objects have opposite signs, and away fom the second object if the signs ae the same. What does Coulomb s Law emind us of? Gavity Compaing gavity and the inteaction between chages In geneal, the foce of gavity is much weake than electostatic inteactions. Gavity is always attactive, while the foce between chages can be attactive o epulsive. The equations have simila foms, giving ise to simila behavio. GmM kqq F F G = 6.67e N m /kg k = 8.99e9 N m /C The most abundant chaged paticles ae potons and electons, with poton heavie. Fo potons, q ~ e9 C, m ~ e7 kg. So F G /Fe ~ e(x7)/e(9x9) = e36. This atio is even smalle Foces between two chages Two equal chages Q ae placed a cetain distance apat. They exet equalandopposite foces F on one anothe. Now one of the chages is doubled in magnitude to Q. What happens to the magnitude of the foce each chage expeiences?. oth chages expeience foces of magnitude F.. The Q chage expeiences a foce of F; the Q chage expeiences a foce F. 3. The Q chage expeiences a foce of F; the Q chage expeiences a foce F. 4. None of the above. fo electons. 3 4 Foces between two chages Let s examine this question fom two pespectives.. Newton s Thid Law can one object expeience a lage foce than the othe? No the objects expeience equalandopposite foces. kq ( )( Q). Coulomb s Law: F. Foces between two chages Figues and 3 show what happens to the foces when one of the chages is doubled in magnitude to Q. Figue 4 shows what happens when both chages ae doubled in magnitude. (Coulomb_mag_sim) 3 4 If we double one chage, the foce will be: kq ( )( Q) F 5 6
2 Supeposition If an object expeiences multiple foces, we can use: The pinciple of supeposition  the net foce acting on an object is the vecto sum of the individual foces acting on that object. onedimensional situation with masses all, with a mass 4m, is placed on the xaxis at x = 0. all, which has a mass m, is placed on the xaxis at x = +4a. Whee would you place ball C, which also has a mass m, so that ball feels no net foce because of the othe balls? Is this even possible? 7 8 onedimensional situation with masses (cont d) Initial: simila onedimensional situation, but with chages (I) all, with chage +4q, is placed at x = 0. all, which has a chage q, is placed at x = +4a. Whee would you place all C, which has a chage of magnitude q, and could be + o , so that ball feels no net foce? y dawing the foce acting on due to (ed aow below), one may see that we should put ball C to the left of ball, at the same distance ball keeps fom ball. ns. If ball C has chage q, it should be placed at x = 4a. ns. If ball C has chage +q, it should be placed at x = +4a. 9 0 simila onedimensional situation, but with chages (II) all, with chage +4q, is placed at x = 0. all, which has a chage q, is placed at x = +4a. Whee would you place all C, which has a chage of magnitude q, and could be + o , so that ball is the one that feels no net foce? ns. If ball C has chage +q, it should be placed at x = 6a. ns. If ball C has chage q, it should be placed at x = a. Case : Suppose ball C has chage +q (and so must be on the ight side of ): Let be the distance of ball C fom ball, and choose the diection pointing at ight to be positive. Total foce acting on, F =( k)(4q)(q)/(4a) +(+k)(q)(q)/ The fist tem is the foce acting on ball due to ball. We assign this tem negative because the figue shows that this foce is pointing to the left. y assigning the sign of the foce, we have taken cae of whethe the chages ae like o unlike so we should not include the sign of the chages in the equation anymoe. Othewise we doublecount the effect! C
3 Fom the above, the total foce acting on, F =( k)(4q)(q)/(4a) +(+k)(q)(q)/ The second tem i.e., the foce acting on due to C is similaly obtained. Solve the equation fo and obtain: F =0 4/(4a) =/ = 4a = a. Since ball C must be on the ight side of, we should choose = +a. That gives the position of ball C to be x = 4a + a = +6a. Case : all C has chage q (and so must be on the left side of ): C Total foce acting on, F =( k)(4q)(q)/(4a) +(+k)(q)(q)/ y setting F = 0, we obtain the same equation as the one we wote befoe fo case, so it should have the same solution, i.e., = a. Since ball C in this case must be on the left side of, we should choose = a. That gives the position of ball C to be x = 4a + (a) = +a. 3 4 twodimensional situation Case : Thee is an object with a chage of +Q at the cente of a squae. Can you place a chaged object at each cone of the squae so the net foce acting on the chage in the cente is diected towad the top ight cone of the squae? Each chage has a magnitude of Q, but you get to choose whethe it is + o. Case let me count the ways. Thee is an object with a chage of +Q at the cente of a squae. Can you place a chaged object at each cone of the squae so the net foce acting on the chage in the cente is diected towad the top ight cone of the squae? Each chage has a magnitude of Q, but you get to choose whethe it is + o. How many possible configuations can you come up with that will poduce the equied foce?. 5. eithe 0 o moe than 4 5 Fist, obseve that all must be negative and ball 4 must be positive. n unknown chage 7 With that, by having eithe both alls &3 negative (below left) o positive (below positive) will not affect the net foce as the foces they act on the ball at the cente would cancel. Two chages and ae placed on the cicumfeence of a cicle. Chage is positive while the sign of chage is unknown. Suppose the aow indicates the diection of the net foce due to the two chages on a positive test chage at the cente of the cicle. What is the sign of the unknown chage? How is its magnitude compaed to that of chage? (unknown) 7 8
4 n unknown chage The foce due to chage must be pointing ight so as to be away fom chage as shown by the ed aow. The foce due to chage must lie along the line joining chage and the test chage (i.e., the geen dash line). The net foce is a vecto sum of the foces fom chage and on the positive test chage. To have the net foce points in the diection given, the foce due to chage must point towads chage. That means the unknown chage is negative. Since the net foce is close to the foce vecto due to chage than it is to that due to chage, the contibution fom the fome must be bigge. (The thee foce vectos in the actual situation ae shown in the diagam above.) So, the magnitude of chage must be lage than the unknown chage. Note that we can ignoe the distance in ou consideation of the foces because the distance Diection of the net foce What is the diection of the net foce acting on the q chage in the squae shown at ight? Solution We fist conside the foces due to the two +q chages. They should poduce a net foce along the diagonal towads the 3q chage. On the othe hand, the q chage poduces a foce along the diagonal away fom itself (see the blue aow). The magnitude of the vecto sum of the foces due to the two +q chage is: [(kq /L ) ] / = kq /L. The magnitude of the foce due to the 3q chage is 3kq /L (Note: The distance between the 3q chage and q chage is (L)). Since this is bigge, the net foce on the q chage points away fom the 3q chage. between the test chage and chages and ae the same. 9 0 twodimensional situation Case : The net foce on the positive cente chage is diected staight down. What ae the signs of the equalmagnitude chages occupying each cone? How many possible configuations can you come up with that will poduce the desied foce? Case let me count the ways. Thee is an object with a chage of +Q at the cente of a squae. Can you place a chaged object at each cone of the squae so the net foce acting on the chage in the cente is diected staight down? Each chage has a magnitude of Q, but you get to choose whethe it is + o. How many possible configuations can you come up with that will poduce the equied foce?. 5. eithe 0 o moe than 4 Fist, obseve that both chages 3 & 4 need to be negative. twodimensional situation With that, both chages & must be positive to maintain the diection of the net foce (see figue at left.) Case 3: Thee is no net foce on the positive chage in the cente. What ae the signs of the equalmagnitude chages occupying each cone? How many possible configuations can you come up with that will poduce no net foce? 3 4
5 Case 3 let me count the ways. Thee is an object with a chage of +Q at the cente of a squae. Can you place a chaged object at each cone of the squae so thee is no net foce acting on the chage in the cente? Each chage has a magnitude of Q, but you get to choose whethe it is + o. How many possible configuations can you come up with that will poduce no net foce?. 5. eithe 0 o moe than 4 Case 3 let me count the ways. So long as the two chages along each diagonal have the same sign, the foces acting on the chage at the cente would be canceled. So, thee ae x = 4 ways. signs diagonals 5 6
EP 106 General Physics II
EP 06 Geneal Physics II Chapte : Electic Chage and Coulomb Law Electic chage Electic chage is a fundamental quantity. The unit of electic chage is called the coulomb (C), name afte Chales Coulomb, a ench
More informationChapter 23. The Electric Force
Chapte 3. The Electic oce Chapte 3. The Electic oce Coulomb's Law 31. Two balls each having a chage of 3 C ae sepaated by mm. What is the foce of epulsion between them? (9 x 1 N m /C )(3 x 1 C)(3 x 1
More informationPhysics E1ax Solutions: Assignment for Feb. 3 Feb. 10 Homework #1: Electric Potential, Coulomb s Law, Equipotentials
Physics Eax Solutions: Assignment fo Feb. 3 Feb. 0 Homewok #: Electic Potential, Coulomb s Law, Equipotentials Afte completing this homewok assignment, you should be able to Undestand the diffeence between
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 information3 The Electric Field Due to one or more Point Charges
Chapte 3 The lectic Field Due to one o moe Point Chages 3 The lectic Field Due to one o moe Point Chages A chaged paticle (a.k.a. a point chage, a.k.a. a souce chage) causes an electic field to exist in
More informationr 2 for both cases. Adding the forces as vectors gives an answer that fits more closely with common sense!
Physics 122, section 5 Laua Lising Assignment 2 Solutions Due Feb 13, stat of class 1) Suppose you have thee chaged paticles aanged as shown in o as shown in. In which case, if eithe, is thee a stonge
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 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 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 informationChapter 24. The Electric Field
Chapte 4. The lectic Field Physics, 6 th dition Chapte 4. The lectic Field The lectic Field Intensity 41. A chage of + C placed at a point P in an electic field epeiences a downwad foce of 8 14 N. What
More informationGravitational Field and its Potential
Lectue 19 Monday  Octobe 17, 2005 Witten o last updated: Octobe 17, 2005 P441 Analytical Mechanics  I Gavitational Field and its Potential c Alex. Dzieba Isaac Newton What Isaac Newton achieved was tuly
More informationBrown University PHYS 0060 ELECTRIC POTENTIAL
INTRODUCTION ELECTRIC POTENTIL You have no doubt noticed that TV sets, light bulbs, and othe electic appliances opeate on 115 V, but electic ovens and clothes dyes usually need 220 V. atteies may be ated
More informationPart 1. Electric Charges, Forces and Fields. Forces of nature or A short journey back to Physics 111. Chapter 17. Forces of Nature.
Foces of Natue Electic Chages, Foces and Fields Chapte 17 Electic Chage Coulomb s Law Electic Field Electic Field Lines Flux of an Electic Field Physics 111: Analysis of motion  3 key ideas Pat 1 Foces
More informationSources of the Magnetic Field. Physics 231 Lecture 81
Souces of the Magnetic Field Physics 31 Lectue 81 Magnetic Field of a Point Chage Given a point chage, q, we know that it geneates an electic field egadless of whethe it is moving o not f the chage is
More informationVersion 001 Review 4 Electric Force, Magnetic fields tubman (19112) 1
Vesion 001 Review 4 Electic Foce, Magnetic fields tubman (19112) 1 This pintout should have 42 questions. Multiplechoice questions may continue on the next column o page find all choices befoe answeing.
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 informationPhysics 2102 Lecture 15. Physics 2102
Physics 212 Jonathan Dowling Physics 212 Lectue 15 iotsavat Law Jeanaptiste iot (17741862) Felix Savat (1791 1841) What Ae We Going to Lean? A Road Map Electic chage Electic foce on othe electic chages
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 informationThere are two kinds of charges, namely, positive (+) charge and negative ( ) charge. Like charges repel
Unit 4 Electic Foces, Fields and Cicuits 4 Electic chage 4 Coulomb s law 43 Shell theoems fo electostatics 44 Electic field 45 Electic field lines 46 Shielding and chaging by induction 47 Electic Cicuits
More informationFrom Last Time. Quick Quiz. The electric dipole. Force on an electric dipole. F = r. Exam 1 Mon. Sep. 29, 5:307 pm
Fom Last Time Magnitude of the electic foce Diection of the electic foce Exam Mon. Sep. 9, 5:07 pm Coves Chap..57,,.4,.7, 4.5, 67 lectue, lab, discussion, HW 8 / x handwitten note sheet (both sides) allowed
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 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 23: Electric Fields
R. Kass P13 Sp4 Ch3 1 Chapte 3: lectic Fiels Peviously (Ch. we have seen that two electic chages will eithe attact o epel each othe. How is it that one electic chage even knows about the eistence of the
More informationGauss's Law. EAcos (for E = constant, surface flat ) 1 of 11
1 of 11 Gauss's Law Gauss's Law is one of the 4 funmental laws of electicity and magnetism called Maxwell's quations. Gauss's law elates chages and electic fields in a subtle and poweful way, but befoe
More informationChapter 25. Electric Potential
Chapte 25. lectic Potential Chapte 25. lectic Potential Wok and lectic Potential negy 251. n positively chaged plate is 30 mm above a negatively chaged plate, and the electic field intensity has a magnitude
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 informationThe Quantum Mechanical Nature of the Law of Universal Gravitation and the Law of Coulomb s Interactions
The Quantum echanical Natue of the Law of Univesal Gavitation and the Law of Coulomb s Inteactions Fayang Qiu Laboatoy of olecula Engineeing, and Laboatoy of Natual Poduct Synthesis, Guangzhou Institute
More informationThe Magnetic Field. Part 1. Magnetism. Chapter 20. What creates magnetic fields? Unlike electrostatics: Magnetic monopoles have never been detected.
The Magnetic Field Magnetism Chapte 0 Pat 1 What ceates magnetic fields Unlike electostatics: Magnetic monopoles have neve been detected. Thee is no magnetic chage! Any pemanent magnet has two poles. What
More informationLecture 19: Effective Potential, and Gravity
Lectue 19: Effective Potential, and Gavity The expession fo the enegy of centalfoce motion was: 1 ( ) l E = µ + U + µ We can teat this as a onedimensional poblem if we define an effective potential:
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 informationGauss s Law. Gauss s law and electric flux. Chapter 24. Electric flux. Electric flux. Electric flux. Electric flux
Gauss s law and electic flux Gauss s Law Chapte 4 Gauss s law is based on the concept of flux: You can think of the flux though some suface as a measue of the numbe of field lines which pass though that
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 information8.4 Torque. Torque. Rotational Dynamics. ProblemSolving
8.4 oque oque otational Dynamics PoblemSolving We began this couse with chaptes on kinematics, the desciption of motion without asking about its causes. We then found that foces cause motion, and used
More informationThe Static Electric Dipole, Quadrupole, & Multipoles
The Static Electic Dipole, Quadupole, & Multipoles EE 141 Lectue Notes Topic 9 Pofesso K. E. Oughstun School of Engineeing College of Engineeing & Mathematical Sciences Univesity of Vemont 2014 Motivation
More information(a) The centripetal acceleration of a point on the equator of the Earth is given by v2. The velocity of the earth can be found by taking the ratio of
Homewok VI Ch. 7  Poblems 15, 19, 22, 25, 35, 43, 51. Poblem 15 (a) The centipetal acceleation of a point on the equato of the Eath is given by v2. The velocity of the eath can be found by taking the
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 informationSchrödinger, 3. 2 y + 2. π y / L 2. )sin(n y. )sin(n z. n x. = 2 π 2 2 L 3 L 2 / 8.
Schödinge, 3 The 3D infinite squae well: quantum dots, wells, and wies In the peceding discussion of the Schödinge Equation the paticle of inteest was assumed to be moving in the x diection. Of couse,
More informationUniversal Gravitation
J  The Foce of Gavity Chapte J Univesal Gavitation Blinn College  Physics 45  Tey Honan Intoduction If Isaac Newton had meely witten down his thee laws of motion he would pobably still be known as the
More informationMagnetism: 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 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 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 informationMagnetic Forces. Physics 231 Lecture 71
Magnetic Foces Physics 231 Lectue 71 Magnetic Foces Chaged paticles expeience an electic foce when in an electic field egadless of whethe they ae moving o not moving Thee is anothe foce that chaged paticles
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 informationExplosions and collisions obey some surprisingly simple laws that make problem solving easier when comparing the situation before and after an
Chapte 9. Impulse and Momentum Explosions and collisions obey some supisingly simple laws that make poblem solving easie when compaing the situation befoe and afte an inteaction. Chapte Goal: To intoduce
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 informationPES 1120 Spring 2014, Spendier Lecture 30/Page 1. (similar to Coulomb's Law)
PES 110 Sping 014, Spendie Lectue 30/Page 1 Today:  Foce between two paallel, infinite wie cuents  Ampee's Law  Solenoids DEMO: We have seen that moving chages o cuents ae the souce of magnetism. This
More informationA current generates magnetic field I
> Magnetic field geneated by A long, staight cuent =μ o /2π A cuent loop =μ o /2 A cuent geneates magnetic field < N > S A long staight vetical segment of wie taveses a magnetic field of magnitude 2.0
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 informationLaws of Motion; Circular Motion
Pactice Test: This test coves Newton s Laws of Motion, foces, coefficients of fiction, feebody diagams, and centipetal foce. Pat I. Multiple Choice 3m 2m m Engine C B A 1. A locomotive engine of unknown
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 informationPhysics 212 Final Sample Exam Form A
1. A point chage q is located at position A, a distance away fom a point chage Q. The chage q is moved to position B, which is also located a distance away fom the chaged paticle Q. Which of the following
More informationDO PHYSICS ONLINE GRAVITATIONAL FIEDS
DO PHYSICS ONLIN SPAC GRAVITATIONAL FIDS NWTON S LAW OF UNIVRSAL GRAVITATION Newton's Univesal Law of Gavitation states that any two objects exet a gavitational foce of attaction on each othe. The diection
More informationChapter 28: Sources of Magnetic Field
Chapte 28: Souces of Magnetic Field In the last chapte, we talked about what happens to a chage moving in a magnetic field B, but we didn t conside how the B got thee in the fist place. We just assumed
More informationMagnetic Fields. Ch.28: The magnetic field: Lorentz Force Law Ch.29: Electromagnetism: Ampere s Law HOMEWORK
Magnetic Fields Ch.28: The magnetic field: Loentz Foce Law Ch.29: Electomagnetism: Ampee s Law HOMEWORK Read Chaptes 28 and 29 Do Chapte 28 Questions 1, 7 Do Chapte 28 Poblems 3, 15, 33, 47 Today The Magnetic
More informationTHE GRAVITATIONAL FORCE INTRO
SECTION 4: THE RAVITATIONAL FORCE A INTRO In the Newtonian paadigm, the undestanding of fundamental pocesses becomes equivalent to a desciption of the foces at play in the Univese. It tuns out that ou
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 informationYour Comments FINALLY SOMETHING THAT MAKES SENSE!!
You Comments I'm thinking of changing my majo to physics, not because I'm amazing at it, just because it seems inteesting an I enjoy it. Shoul I switch? I thooughly looke though the pelectue this time
More informationRight Hand Rule. Magnetic field is defined in terms of the force on a moving charge. B=F/qvsinΘ for a moving charge or F=qvxB.
Magnetic field is defined in tems of the foce on a moving chage =/qvsinθ fo a moving chage o =qvx =/lsinθ o =lx fo a cuent Right Hand Rule Hold you ight hand open Place you finges in the diection of Place
More informationand q Electric Potential A distance r from a charge q is given by V is the test charge and q U V
SPH4 nit 7.4 lectic Potential Page of Notes Physics Tool box lectic Potential negy the electic potential enegy stoed in a syste kqq of two chages q and q is k oulobs onstant is 4 N 9 9.00 0 kq lectic Potential
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 information1 Charge & Coulomb's Law
Chapte 1 Chage & Coulomb's Law 1 Chage & Coulomb's Law Chage is a popety of matte. Thee ae two kinds of chage, positive + and negative. 1 An object can have positive chage, negative chage, o no chage at
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 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 informationThe gravitational force law: Application
PHYS 7: Moden Mechanic Sping 0 VERY IMPORTANT: Scoe fo lectue 5 quizze wee impoted into CHIP. Moe than 00 tudent did not ente clicke ID into chip o enteed them incoectly Pleae check you coe a..a.p. If
More informationChapter 24: Gauss Law
. Kass P1 Sp Ch 1 Chapte : Gauss Law Gauss Law elates the net amount of electic chage enclosed by a suface to the electic field on that suface. Fo cetain situations Gauss Law povides an easie way to calculate
More information1240 ev nm 2.5 ev. (4) r 2 or mv 2 = ke2
Chapte 5 Example The helium atom has 2 electonic enegy levels: E 3p = 23.1 ev and E 2s = 20.6 ev whee the gound state is E = 0. If an electon makes a tansition fom 3p to 2s, what is the wavelength of the
More informationshow an appreciation that a force might act on a current carrying conductor placed in a magnetic field.
8866 H1 Physics J/011 10. Content 1. oce on a cuent caying conducto. oce on a moving chage 3. Magnetic fields due to cuents 4. oce between cuent caying conductos. Candidates should be able to: (a) (b)
More information7. Molecular interactions 7.1 Polar molecules
7. Molecula inteactions 7.1 Pola molecules A pola molecule is a molecule with a pemanent dipole moment (stemming fom patial chages due to electonegativity and othe featues of bonding). Nonpola molecules
More information2 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 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 informationANOTHER CIRCUIT ELEMENT. Capacitor Stores electric charge Symbol: Unit: Farad Can be connected in series or in parallel. Example
ANOTHER IRUIT ELEMENT apacito Stoes electic chage Symbol: Unit: Faad an be connected in seies o in paallel A ail gun is a weapon that biefly needs a huge electic cuent in ode to acceleate a pojectile to
More informationMAGNETIC FORCE & MAGNETIC FIELD (Chapter 22) Poles cannot be separated no magnetic monopoles (so far)
MGNETIC FORCE & MGNETIC FIELD (Chapte 22) Read histoical bacgound in 22.1 Magnetism nown of fo oe 2000 eas. Magnets nown to hae two poles o Noth points to Eath s Noth Pole (which is a south magnetic pole!)
More informationSolutions to Homework Set #5 Phys2414 Fall 2005
Solution Set #5 1 Solutions to Homewok Set #5 Phys414 Fall 005 Note: The numbes in the boxes coespond to those that ae geneated by WebAssign. The numbes on you individual assignment will vay. Any calculated
More informationFrames of Reference. Apparent Forces
Fames of Refeence Newton s laws of motion ae valid in a coodinate system that is fixed in space. A coodinate system fixed in space is known as an inetial (o absolute) fame of efeence. A coodinate system
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 informationConservation of Momentum
Physics 7 Consevation of Momentum Intoduction Collisions occu all aound us and on many size scales. We obseve them in ou eveyday wold as ca accidents, battes hitting a baseball out of the ballpak, aindops
More informationThe Schwarzschild Metric
The Schwazschild Metic Relativity and Astophysics Lectue 34 Tey Hete Outline Schwazschild metic Spatial pat Time pat Coodinate Fames Feefloat Shell Schwazschild bookkeepe Pinciple of Extemal Aging Consevation
More informationHomework #4  Answers. The ISLM Model Due Mar 18
Winte Tem 2004 Alan Deadoff Homewok #4  Answes Page 1 of 12 Homewok #4  Answes The  Model Due Ma 18 1. Fun with the Keynesian Coss: a. Use the geomety of the Keynesian Coss diagam shown at the ight
More informationAP Physics Test Magnetic Fields; Sources of Magnetic Field
AP Physics Test Magnetic Fields; Souces of Magnetic Field Pat I. Multiple hoice (4 points each) hoose the one best answe to each of the following poblems. axis 2 A = 0.05 T 0.3 m 0.3 m 1 (AP). A squae
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 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 informationElectric & Potential Fields
Electic & Potential Fields Pupose An electic field suounds any assemblage of chaged objects. To detemine the stength and diection of these fields, it is most convenient to fist map the electic potential
More informationCourse Updates. 2) This week: Finish Chap 27 (magnetic fields and forces)
Couse Updates http://www.phys.hawaii.edu/~vane/phys272sp10/physics272.html Notes fo today: 1) Assignment #7 due Monday 2) This week: Finish Chap 27 (magnetic fields and foces) 3) Next week Chap 28 (Souces
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 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 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 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 information19.1 Potential Energy
Chapte 19: Electic Potential Enegy & Electic Potential Why electic field contains enegy? Is thee an altenative way to undestand electic field? Concepts: Wok done by consevative foce Electic potential enegy
More informationModule 8. Threephase Induction Motor. Version 2 EE IIT, Kharagpur
Module 8 Theephase Induction Moto Lesson 30 Constuction and Pinciple of Opeation of IM In the pevious, i.e. fist, lesson of this module, the fomation of otating magnetic field in the ai gap of an induction
More informationChapter 7. Impulse and Momentum
Chapte 7 Impulse and Momentum 7.1 The ImpulseMomentum Theoem Thee ae many situations when the foce on an object is not constant. 7.1 The ImpulseMomentum Theoem DEFINITION OF IMPULSE The impulse of a
More informationChapter 17 The Kepler Problem: Planetary Mechanics and the Bohr Atom
Chapte 7 The Keple Poblem: Planetay Mechanics and the Boh Atom Keple s Laws: Each planet moves in an ellipse with the sun at one focus. The adius vecto fom the sun to a planet sweeps out equal aeas in
More informationPhysics 132, Practice Final Exam Multiple Choice Questions. Circle the letter that corresponds to your choice for the correct answer to each problem.
Cicle the lette that coespons to you choice fo the coect answe to each poblem. 1. A squae loop of wie lies in the plane of the page. A eceasing magnetic fiel is iecte into the page. The inuce cuent in
More informationLesson 33: Horizontal & Vertical Circular Problems
Lesson 33: Hoizontal & Vetical Cicula Poblems Thee ae a wide vaiety of questions that you do if you apply you knowledge of cicula motion coectly. The tough pat is figuing out how to set them up. You need
More informationVersion 001 Circular Motion tubman ( ) 1
Vesion 001 Cicula Motion tubman (1818185) 1 This pintout should have 13 questions. Multiplechoice questions may continue on the next column o page find all choices befoe answeing. Bael of Fun 01 001
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 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 informationPearson Physics Level 30 Unit VI Forces and Fields: Chapter 10 Solutions
Peason Physics Level 30 Unit VI Foces and Fields: hapte 10 Solutions Student Book page 518 oncept heck 1. It is easie fo ebonite to eove electons fo fu than fo silk.. Ebonite acquies a negative chage when
More informationElectric Fields. Phys102 General Physics II. Electric Fields
lectic Fields Phs10 Geneal Phsics II lectic Fields Topics lectic field = Foce pe unit Chage lectic Field Lines and lectic Flu lectic field fom moe than 1 chage lectic Dipoles Motion of point chages in
More informationReview Module: Cross Product
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Depatment of hysics 801 Fall 2009 Review Module: Coss oduct We shall now intoduce ou second vecto opeation, called the coss poduct that takes any two vectos and geneates
More information