Slide 1 / 71 Electric Potential Multiple Choice Problems Slide 2 / 71 1 A negative charge is placed on a conducting sphere. Which statement is true about the charge distribution A Concentrated at the center of the sphere Charge density increases from the center to the B surface Uniformly distributed on the sphere's outer C surface. D Uniformly distributed inside the sphere E More information is required Slide 3 / 71 2 An electric charge Q is placed at the origin. What is the ratio between the absolute potential at point A and point B? A 4/1 B 2/1 C 1 D 1/2 E 1/4
Slide 4 / 71 3 Which of the following statements about conductors under electrostatic conditions is true? Positive work is required to move a positive A charge over the surface of a conductor. Charge that is placed on the surface of a B conductor always spreads evenly over the surface. The electric potential inside a conductor is C always zero. The electric field at the surface of a conductor is D tangent to the surface. The surface of a conductor is always an E equipotential surface. Slide 5 / 71 4 Which of the following represents the magnitude, of the potential V as function of r, the distance from the center of a conducting sphere charged with a positive charge Q, when r > R? A 0 B kQ/R C kQ/r kQ/R 2 D kQ/r 2 E Slide 6 / 71 5 Points A and B are each the same distance r from two unequal charges, +Q and +2Q. The work required to move a charge q from point A to point B is: dependent on the A path taken from A to B directly proportional B to the distance between A and B C positive D zero E negative
Slide 7 / 71 6 An electric field is created by a positive charge. The distribution of the electric field lines and equipotential lines is presented on the diagram. Which statement about electric potential is true? A V A > V B > V C > V D > V E B V A < V B < V C < V D < V E C V A = V D > V B > V C = V E D V A > V B = V C > V D = V E E V A > V B > V C = V D = V E Slide 8 / 71 7 An electric field is created by a positive charge. The distribution of the electric field lines and equipotential lines is presented on the diagram. A test charge +q is moved from point to point in the electric field. Which statement about work done by the electric field on charge +q is true? A W A→B >W A→C B W A→D >W A→E C W D→C <W A→E D W A→D =W C→E =0 E W A→B =W A→E Slide 9 / 71 8 Two parallel conducting plates are charged with an equal and opposite charges. Which statement is true about the magnitude of the electric potential? A Greater at point A B Greater at point B C Greater at point C D Greater at point D The same at points E B, C, D and zero at point A
Slide 10 / 71 9 A point charge q is released from rest at point A and accelerates is a uniform electric field E. What is the ratio between the work done by the field on the charge: W A→B /W B→C ? A 1/2 B 1/4 C 1 D 2/1 E 4/1 Slide 11 / 71 10 A point charge q is released from rest at point A and accelerates is a uniform electric field E. What is the ratio between velocities of the charge V B /V C ? A 1/(√2 ) B (√2)/3 C 1 D (√2)/1 E (√3)/2 Slide 12 / 71 11 A point charge Q 1 = +4.0 µC is placed at point -2 m. A second charge Q 2 is placed at point +3 m. The net electric potential at the origin is zero. What is charge Q 2 ? Magnitude Sign A 9.0 µC Positive B 6.0 µC Positive C 3.0 µC Positive D 6.0 µC Negative E 9.0 µC Negative
Slide 13 / 71 12 A conducting sphere is charged with a positive charge +Q. Which of the following is the correct relationship for the electric potential at the points A, B, and C? A V A < V B < V C B V A > V B < V C C V A < V B > V C D V A = V B < V C E V A = V B > V C Slide 14 / 71 13 An electric field is presented by a series of equipotential lines. At which location the electric field strength is the greatest? A B C D E Slide 15 / 71 A uniform conducting sphere of radius 14 R is charged with a positive charge +Q. Which of the following is correct relationship between the potential and distance from the center of the sphere? A C E B D
Slide 16 / 71 15 A uniform conducting sphere of radius R is charged with a positive charge +Q. Which of the following is correct relationship between the electric field and distance from the center of the sphere? C E A B D Slide 17 / 71 16 Two positive charges A and B are placed at the corners of equilateral triangle with a side r. What is the net electric potential at point C? A (√2)kQ/r B (√3)kQ/r C kQ/r D (√5)kQ/r E 2kQ/r Slide 18 / 71 17 Two charges +Q and –Q are placed at the corners of equilateral triangle with a side r. What is the net electric potential at point C? A 0 B (√3)kQ/r C kQ/r D (√5)kQ/r E 2kQ/r
Slide 19 / 71 18 Four positive Q charges are arranged in the corner of a square as shown on the diagram. What is the net electric potential at the center of the square? A 0 8kQ B (√2)r 4kQ C (√2)r 16kQ D (√2)r 2kQ E (√2)r Slide 20 / 71 19 Two conducting spheres of different radii are charged with the same charge - Q. What will happen to the charge if the spheres are connected with a conducting wire? Negative charge flows from the large sphere to the smaller sphere until A the electric field at the surface of each sphere is the same Negative charge flows from the smaller sphere to the larger sphere until B the electric field at the surface of each sphere is the same Negative charge flows from the large sphere to the smaller sphere until C the electric potential at the surface of each sphere is the same Negative charge flows from the smaller sphere to the larger sphere the D electric potential at the surface of each sphere is the same E There is no charge flow between the spheres Slide 21 / 71 20 A charged particle is projected with its initial velocity perpendicular to a uniform electric field. The resulting path of the particle is: A spiral B parabolic arc C circular arc D straight line parallel to the field E straight line perpendicular to the field
Slide 22 / 71 21 A positive charge of +3 µC is moved from point A to point B in a uniform electric field. How much work is done by the electric field on the charge? A 100 µJ B 120 µJ C 140 µJ D 160 µJ E 180 µJ Slide 23 / 71 22 Two positive charges with a magnitude of Q are located at points (+1,0) and (-1,0). At which of the following points is the electric potential the greatest in magnitude? A (+2,0) B (0,-1) C (0,0) D (+3,0) E (0,+1) Slide 24 / 71 23 An electron with energy of 200 eV enters a uniform electric field parallel to the plates. The electron is deflected by the electric field. What is the kinetic energy of the electron just before it strikes the upper plate? A 50 eV B 100 eV C 200 eV D 300 eV E 400 eV
Slide 25 / 71 24 A parallel-plate capacitor has a capacitance C 0 . What is the capacitance of the capacitor if the area is doubled and separation between the plates is doubled? A 4 C 0 B 2 C 0 C C 0 D 1/2 C 0 E 1/4 C 0 Slide 26 / 71 25 A parallel-plate capacitor is charged by a battery and then disconnected. What will happen to the charge on the capacitor and voltage across it if the separation between the plates is decreased and the area is increased? A Both increase B Both decrease C Both remain the same The charge remains the same and voltage D increases The charge remains the same and voltage E decreases Slide 27 / 71 26 A parallel-plate capacitor is charged by connection to a battery and remains connected. What will happen to the charge on the capacitor and voltage across it if the separation between the plates is decreased and the area is increased? A Both increase B Both decrease C Both remain the same The voltage remains the same and charge D increases The voltage remains the same and charge E decreases
Slide 28 / 71 27 A parallel-plate capacitor is connected to a battery with a constant voltage. What happens to capacitance, charge, and voltage if a dielectric material is placed between the plates? Capacitance Charge Voltage Increases Increases Decreases A Decreases Increases Remains the same B Remains the same Decreases Increases C Increases Increases Remains the same D Decreases Remains the same Increases E Slide 29 / 71 28 A parallel-plate capacitor is connected to a battery and becomes fully charged. The capacitor is then disconnected, and the separation between the plates is increased in such a way that no charge leaks off. What happens to the energy stored in the capacitor? A Remains the same B Increased C Decreased D Zero E More information is required Slide 30 / 71 29 A parallel-plate capacitor is connected to a battery with a constant voltage. The capacitor becomes fully charged and stays connected. What happens to the energy stored in the capacitor if the separation is decreased? A Remains the same B Increased C Decreased D Zero E More information is required
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