1. The electron volt is a measure of (A) charge (B) energy (C) impulse (D) momentum (E) velocity

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1 AP Physics Multiple Choice Practice Electrostatics 1. The electron volt is a measure of (A) charge (B) energy (C) impulse (D) momentum (E) velocity. A soli conucting sphere is given a positive charge Q. How is the charge Q istribute in or on the sphere? (A) It is concentrate at the center of the sphere. (B) It is uniformly istribute throughout the sphere. (C) Its ensity ecreases raially outwar from the center. (D) Its ensity increases raially outwar from the center. (E) It is uniformly istribute on the surface of the sphere only. 3. A parallel plate capacitor is charge by connection to a battery. If the battery is isconnecte an the separation between the plates is increase, what will happen to the charge on the capacitor an the voltage across it? (A) Both remain fixe. (B) Both increase. (C) Both ecrease. (D) The charge increases an the voltage ecreases. (E) The charge remains fixe an the voltage increases. Questions 4 5. A point P is 0.50 meter from a point charge of coulomb. 4. The intensity of the electric fiel at point P is most nearly (A) N/C (B) N/C (C) N/C (D) N/C (E) N/C 5. The electric potential at point P is most nearly (A).5 l0 8 V (B) V (C) V (D) V (E) V 6. One joule of work is neee to move one coulomb of charge from one point to another with no change in velocity. Which of the following is true between the two points? (A) The resistance is one ohm. (B) The current is one ampere. (C) The potential ifference is one volt. (D) The electric fiel strength is one newton per coulomb. (E) The electric fiel strength is one joule per electron. Questions 7 8 Two positive charges of magnitue q are each a istance from the origin A of a coorinate system as shown above. 7. At which of the following points is the electric fiel least in magnitue? (A) A (B) B (C) C (D) D (E) E 8. At which of the following points is the electric potential greatest in magnitue? (A) A (B) B (C) C (D) D (E) E 9. A parallel plate capacitor has a capacitance C o. A secon parallel plate capacitor has plates with twice the area an twice the separation. The capacitance of the secon capacitor is most nearly (A) ¼C o (B) ½C o (C) C o (D) C o (E) 4C o 5

2 10. Two ientical conucting spheres are charge to +Q an Q. respectively, an are separate by a istance (much greater than the raii of the spheres) as shown above. The magnitue of the force of attraction on the left sphere is F 1. After the two spheres are mae to touch an then are reseparate by istance, the magnitue of the force on the left sphere is F. Which of the following relationships is correct? (A) F1 = F (B) F 1 = F (C) F 1 = F (D) F l = 4F (E) F 1 = 8 F 11. The capacitance of a parallel plate capacitor can be increase by increasing which of the following? (A) The istance between the plates (B) The charge on each plate (C) The area of the plates (D) The potential ifference across the plates (E) None of the above 1. An electron volt is a measure of (A) energy (B) electric fiel (C) electric potential ue to one electron (D) force per unit electron charge (E) electric charge Questions An electron is accelerate from rest for a time of 10 9 secon by a uniform electric fiel that exerts a force of 8.0 x newton on the electron. 13. What is the magnitue of the electric fiel? (A) N/C (B) N/C (C) N/C (D) N/C (E) N/C 14. The spee of the electron after it has accelerate for the 10 9 secon is most nearly (A) 10 1 m/s (B) 10 3 m/s (C) 10 5 m/s (D) 10 7 m/s (E) 10 9 m/s 15. A hollow metal sphere of raius R is positively charge. Of the following istances from the center of the sphere, which location will have the greatest electric fiel strength? (A) 0 (center of the sphere) (B) 3R/ (C) 5R/4 (D) R (E) None of the above because the fiel is of constant strength 16. Two isolate charges, + q an q, are centimeters apart. If F is the magnitue of the force acting on charge Q, what are the magnitue an irection of the force acting on charge +q? Magnitue Direction (A) (1/) F Towar charge q (B) F Away from charge q (C) F Towar charge q (D) F Away from charge q (E) F Towar charge q 17. Charges + Q an 4Q are situate as shown above. The net electric fiel is zero nearest which point? (A) A (B) B (C) C (D) D (E) E 6

3 18. A positive charge of 10 6 coulomb is place on an insulate soli conucting sphere. Which of the following is true? (A) The charge resies uniformly throughout the sphere. (B) The electric fiel insie the sphere is constant in magnitue, but not zero. (C) The electric fiel in the region surrouning the sphere increases with increasing istance from the sphere. (D) An insulate metal object acquires a net positive charge when brought near to, but not in contact with, the sphere. (E) When a secon conucting sphere is connecte by a conucting wire to the first sphere, charge is transferre until the electric potentials of the two spheres are equal. 19. Two large parallel conucting plates P an Q are connecte to a battery of emf E, as shown above. A test charge is place successively at points I, II, an III. If ege effects are negligible, the force on the charge when it is at point III is (A) of equal magnitue an in the same irection as the force on the charge when it is at point I (B) of equal magnitue an in the same irection as the force on the charge when it is at point II (C) equal in magnitue to the force on the charge when it is at point I, but in the opposite irection (D) much greater in magnitue than the force on the charge when it is at point II, but in the same irection (E) much less in magnitue than the force on the charge when it is at point II, but in the same irection 0. Forces between two objects which are inversely proportional to the square of the istance between the objects inclue which of the following? I. Gravitational force between two celestial boies II. Electrostatic force between two electrons III. Nuclear force between two neutrons (A) I only (B) III only (C) I an II only (D) II an III only (E) I, II, an III 1. The iagram above shows an isolate, positive charge Q. Point (B) is twice as far away from Q as point A. The ratio of the electric fiel strength at point A to the electric fiel strength at point B is (A) 8 to 1 (B) 4 to 1 (C) to 1 (D) 1 to 1 (E) 1 to. Which of the following is true about the net force on an uncharge conucting sphere in a uniform electric fiel? (A) It is zero. (B) It is in the irection of the fiel. (C) It is in the irection opposite to the fiel. (D) It prouces a torque on the sphere about the irection of the fiel. (E) It causes the sphere to oscillate about an equilibrium position. 7

4 3. Two conucting spheres of ifferent raii, as shown above, each have charge Q. Which of the following occurs when the two spheres are connecte with a conucting wire? (A) No charge flows. (B) Negative charge flows from the larger sphere to the smaller sphere until the electric fiel at the surface of each sphere is the same. (C) Negative charge flows from the larger sphere to the smaller sphere until the electric potential of each sphere is the same. (D) Negative charge flows from the smaller sphere to the larger sphere until the electric fiel at the surface of each sphere is the same. (E) Negative charge flows from the smaller sphere to the larger sphere until the electric potential of each sphere is the same. 4. Two parallel conucting plates are connecte to a constant voltage source. The magnitue of the electric fiel between the plates is,000 N/C. If the voltage is ouble an the istance between the plates is reuce to 1/5 the original istance, the magnitue of the new electric fiel is (A) 800 N/C (B) 1,600 N/C (C),400 N/C (D) 5,000 N/C (E) 0,000 N/C Questions 5 6 The figure above shows two particles, each with a charge of +Q, that are locate at the opposite corners of a square of sie. 5. What is the irection of the net electric fiel at point P? (A) (B) (C) (D) (E) 6. What is the potential energy of a particle of charge +q that is hel at point P? qq 1 qq qq (A) Zero (B) (C) (D) (E) 4 0 qq 7. Two parallel conucting plates, separate by a istance, are connecte to a battery of emf E. Which of the following is correct if the plate separation is ouble while the battery remains connecte? (A) The electric charge on the plates is ouble. (B) The electric charge on the plates is halve. (C) The potential ifference between the plates is ouble. (D) The potential ifference between the plates is halve (E) The capacitance is unchange. 8

5 8. A 4 F capacitor is charge to a potential ifference of 100 V. The electrical energy store in the capacitor is (A) J (B) 10 8 J (C) 10 6 J (D) 10 4 J (E) 10 J 9. The hollow metal sphere shown above is positively charge. Point C is the center of the sphere an point P is any other point within the sphere. Which of the following is true of the electric fiel at these points? (A) It is zero at both points. (B) It is zero at C, but at P it is not zero an is irecte inwar. (C) It is zero at C, but at P it is not zero an is irecte outwar. (D) It is zero at P, but at C it is not zero. (E) It is not zero at either point. Questions Charges Q an +Q are locate on the x an y axes, respectively, each at a istance from the origin O, as shown above. 30. What is the irection of the electric fiel at the origin O? a. b. c.. e. 31. What is the magnitue of the electric fiel at the origin O? (A) kq (B) kq (C) kq (D) kq (E) kq 3. An electron e an a proton p are simultaneously release from rest in a uniform electric fiel E, as shown above. Assume that the particles are sufficiently far apart so that the only force acting on each particle after it is release is that ue to the electric fiel. At a later time when the particles are still in the fiel, the electron an the proton will have the same (A) irection of motion (B) spee (C) isplacement (D) magnitue of acceleration (E) magnitue of force acting on them 9

6 Questions Two large, flat, parallel, conucting plates are 0.04 m apart, as shown above. The lower plate is at a potential of V with respect to groun. The upper plate is at a potential of 10 V with respect to groun. Point P is locate 0.01 m above the lower plate. 33. The electric potential at point P is (A) 10 V (B) 8 V (C) 6 V (D) 4 V (E) V 34. The magnitue of the electric fiel at point P is (A) 800 V/m (B) 600 V/m (C) 400 V/m (D) 00 V/m (E) 100 V/m 35. A particle of charge Q an mass m is accelerate from rest through a potential ifference V, attaining a kinetic energy K. What is the kinetic energy of a particle of charge Q an mass m/ that is accelerate from rest through the same potential ifference? (A) ¼ K (B) ½ K (C) K (D) K (E) 4K 36. The iagram above shows electric fiel lines in an isolate region of space containing two small charge spheres, Y an Z. Which of the following statements is true? (A) The charge on Y is negative an the charge on Z is positive. (B) The strength of the electric fiel is the same everywhere. (C) The electric fiel is strongest miway between Y an Z. (D) A small negatively charge object place at point X woul ten to move towar the right. (E) Both charge spheres Y an Z carry charge of the same sign m from the center of the sphere is most nearly (A) N/C (B) N/C (C) N/C (D) N/C (E) N/C 38. A parallel plate capacitor has a capacitance C o. A secon parallel plate capacitor has plates with twice the area an twice the separation. The capacitance of the secon capacitor is most nearly (A) ¼C o (B) ½C o (C) C o (D) C o (E) 4C o 39. The electric fiel E just outsie the surface of a charge conuctor is (A) irecte perpenicular to the surface (B) irecte parallel to the surface (C) inepenent of the surface charge ensity (D) zero (E) infinite 10

7 40. Points R an S are each the same istance from two unequal charges, +Q an +Q, as shown above. The work require to move a charge Q from point R to point S is (A) epenent on the path taken from R to S (B) irectly proportional to the istance between R an S (C) positive (D) zero (E) negative 41. A rigi insulate ro, with two unequal charges attache to its ens, is place in a uniform electric fiel E as shown above. The ro experiences a (A) net force to the left an a clockwise rotation (B) net force to the left an a counterclockwise rotation (C) net force to the right an a clockwise rotation (D) net force to the right an a counterclockwise rotation (E) rotation, but no net force *4. The electric fiel of two long coaxial cyliners is represente by lines of force as shown above. The charge on the inner cyliner is +Q. The charge on the outer cyliner is (A) +3Q (B) +Q (C) 0 (D) Q (E) 3 Q 43. An isolate capacitor with air between its plates has a potential ifference V o an a charge Q o. After the space between the plates is fille with oil, the ifference in potential is V an the charge is Q. Which of the following pairs of relationships is correct? (A) Q = Qo an V > V o (B) Q = Q o an V < V o (C) Q > Q o an V = V o (D) Q < Q o an V < V o (E) Q > Q o an V > V o 11

8 44. Two small spheres have equal charges q an are separate by a istance. The force exerte on each sphere by the other has magnitue F. If the charge on each sphere is ouble an is halve, the force on each sphere has magnitue (A) F (B) F (C) 4F (D) 8F (E) 16F 45. Which of the following statements about conuctors uner electrostatic conitions is true? (A) Positive work is require to move a positive charge over the surface of a conuctor. (B) Charge that is place on the surface of a conuctor always spreas evenly over the surface. (C) The electric potential insie a conuctor is always zero. (D) The electric fiel at the surface of a conuctor is tangent to the surface. (E) The surface of a conuctor is always an equipotential surface. 46. A charge particle traveling with a velocity v in an electric fiel E experiences a force F that must be (A) parallel to v (B) perpenicular to v (C) perpenicular to v an E (D) parallel to E (E) perpenicular to E 47. A positive charge of coulomb is place in an upwar irecte uniform electric fiel of N/C. When the charge is move 0.5 meter upwar, the work one by the electric force on the charge is (A) J (B) J (C) 10 4 J (D) J (E) J Questions The following configurations of electric charges are locate at the vertices of an equilateral triangle. Point P is equiistant from the charges. 48. In which configuration is the electric fiel at P equal to zero? (A) A (B) B (C) C (D) D (E) E 49. In which configuration is the electric fiel at P pointe at the mipoint between two of the charges? (A) A (B) B (C) C (D) D (E) E 50. Two square parallel plate capacitors of capacitances C 1 an C have the imensions shown in the iagrams above. The ratio of C 1 to C is (A) 1 to 4 (B) 1 to (C) 1 to 1 (D) to 1 (E) 4 to A sheet of mica is inserte between the plates of an isolate charge parallel plate capacitor. Which of the following statements is true? (A) The capacitance ecreases. (B) The potential ifference across the capacitor ecreases. (C) The energy of the capacitor oes not change. (D) The charge on the capacitor plates ecreases (E) The electric fiel between the capacitor plates increases. 1

9 5. Two conucting spheres, X an Y have the same positive charge +Q, but ifferent raii (r x > r y ) as shown above. The spheres are separate so that the istance between them is large compare with either raius. If a wire is connecte between them, in which irection will electrons be irecte in the wire? (A) From X to Y (B) From Y to X (C) There will be no flow of charge in the wire. (D) It cannot be etermine without knowing the magnitue of Q. (E) It cannot be etermine without knowing whether the spheres are soli or hollow. Questions A sphere of raius R has positive charge Q uniformly istribute on its surface 53. Which of the following represents the magnitue of the electric fiel E an the potential V as functions of r, the istance from the center of the sphere, when r < R? E V (A) 0 kq/r (B) 0 kq/r (C) 0 0 (D) kq/r 0 (E) kq/r Which of the following represents the magnitue, of the electric fiel E an the potential V as functions of r, the istance from the center of sphere, when r > R? E V (A) kq/r kq/r (B) kq/r kq/r (C) kq/r kq/r (D) kq/r kq/r (E) kq/r kq/r 55. From the electric fiel vector at a point, one can etermine which of the following? I. The irection of the electrostatic force on a test charge of known sign at that point II. The magnitue of the electrostatic force exerte per unit charge on a test charge at that point III. The electrostatic charge at that point (A) I only (B) III only (C) I an II only (D) II an III only (E) I, II, an III 56. A conucting sphere of raius R carries a charge Q. Another conucting sphere has a raius R/, but carries the same charge. The spheres are far apart. The ratio of the electric fiel near the surface of the smaller sphere to the fiel near the surface of the larger sphere is most nearly (A) 1/4 (B) 1/ (C) 1 (D) (E) 4 13

10 57. A circular ring mae of an insulating material is cut in half. One half is given a charge q uniformly istribute along its arc. The other half is given a charge + q also uniformly istribute along its arc. The two halves are then rejoine with insulation at the junctions J, as shown above. If there is no change in the charge istributions, what is the irection of the net electrostatic force on an electron locate at the center of the circle? (A) Towar the top of the page (B) Towar the bottom of the page (C) To the right D) To the left (E) Into the page. 58. Four positive charges of magnitue q are arrange at the corners of a square, as shown above. At the center C of the square, the potential ue to one charge alone is V o an the electric fiel ue to one charge alone has magnitue E o. Which of the following correctly gives the electric potential an the magnitue of the electric fiel at the center of the square ue to all four charges? Electric Potential Electric Fiel (A) Zero Zero (B) Zero Eo (C) Vo 4Eo (D) 4 Vo Zero (E) 4 Vo E o 59. Two charges, Q an +Q, are locate on the x axis, as shown above. Point P, at a istance of 3D from the origin O, is one of two points on the positive x axis at which the electric potential is zero. How far from the origin O is the other point? (A) /3 D (B) D (C) 3/ D (D) 5/3 D (E) D 14

11 *60. Two concentric, spherical conucting shells have raii r 1 an r an charges Q 1 an Q, as shown above. Let r be the istance from the center of the spheres an consier the region r 1 < r < r. In this region the electric fiel is proportional to (A) Q1/r (B) (Q 1 + Q )/r (C) (Q 1 + Q )/r (D) Q 1 /r 1 + Q /r (E) Q 1 /r + Q /r Questions 61 6 A battery or batteries connecte to two parallel plates prouce the equipotential lines between the plates shown above. *61. Which of the following configurations is most likely to prouce these equipotential lines? 15

12 *6. The force on an electron locate on the 0 volt potential line is (A) 0 N (B) 1 N, irecte to the right (C) 1 N, irecte to the left (D) to the right, but its magnitue cannot be etermine without knowing the istance between the lines (E) to the left, but its magnitue cannot be etermine without knowing the istance between the lines 63. Two metal spheres that are initially uncharge are mounte on insulating stans, as shown above. A negatively charge rubber ro is brought close to, but oes not make contact with, sphere X. Sphere Y is then brought close to X on the sie opposite to the rubber ro. Y is allowe to touch X an then is remove some istance away. The rubber ro is then move far away from X an Y. What are the final charges on the spheres? Sphere X Sphere Y A) Zero Zero B) Negative Negative C) Negative Positive D) Positive Negative E) Positive Positive 64. Which of the following capacitors, each of which has plates of area A, woul store the most charge on the top plate for a given potential ifference V? 65. A parallel plate capacitor has charge +Q on one plate an charge Q on the other. The plates, each of area A, are a istance apart an are separate by a vacuum. A single proton of charge +e, release from rest at the surface of the positively charge plate, will arrive at the other plate with kinetic energy proportional to eq Q AeQ Q eq (A) (B) (C) (D) (E) A ea e A 16

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