What is the magnitude of the electric field at a radial distance r2 = 2R?
What is the electric flux through the imagined spherical surface?
What is the electric flux through the closed rectangular box?
Practice test 2 1. A solid sphere is concentric with two conducting spherical shells as shown. The solid sphere carries a charge of +5.00 C uniformly distributed over its outer surface. The inner shell carries a net charge of 3.00 C. The outer shell carrieIf you want to learn more check out when its monitoring software spotted a twitter post that went to 10,000 followers from an upset consumer who couldn't redeem a prize from a mycoke rewards program, coke quickly posted an apology on his twitter profile and offered to help resolve the situa
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We also discuss several other topics like the three loops of wire shown in the figure are all subject to the same uniform magnetic field b that does not vary with time. loop 1 oscillates back and forth as the bob in a pendulum, loop 2 rotates about a vertical axis, and loop 3 oscillates up and do
s a net charge of -10.00 C. No other charges are present. The inner and outer surfaces of the two conducting shells are labeled as A, B, C and D. Find the charges on the surfaces B and D of the conducting shells. A. -5 C, -3 C B. -8 C, 0 C C. 8 C, -2 C D. 5 C, -8 C E. -2 C, -10 C 
C 
B D 
A
2. A conducting sphere has a charge +2Q on it, and is located inside a conducting shell with net charge +Q on it. Rank the outgoing electric flux from largest to smallest through centered spherical Gaussian surfaces: A) with 0<r<R1; B) with R1<r<R2; C) R2<r<R3 and D) r>R3. A. A,B,C,D B. D,B,A=C C. D,C,B,A D. A=C,B=D E. A=B=C,D 
R1 R2 R33. Consider a closed triangular box resting within a horizontal electric field of magnitude E = 6.74 
104 N/C as shown in the figure below. Calculate the electric flux through the slanted surface of the box? There are no electric charges inside the box. A. 5023 Nm2/C 
B. 2022 Nm2/C C. 3143 Nm2/C D. 4044 Nm2/C E. 1200 Nm2/C 4. Inside a closed rectangular box, there is a closed sphere of radius r = 0.5 m. Inside the sphere there is a charge which produces an electric field which has a magnitude of 2 N/C and is directed radially outward at all points on the surface of the sphere. What is the electric flux through the closed rectangular box? There are no other charges around except the one inside the sphere. A. 6.28 Nm2/C B. 0 Nm2/C C. 10.3 Nm2/C 
D. 2.17 Nm2/C 
E. Cannot be determined 5. Imagine a closed spherical surface of radius r = 0.5 m centered at a point on a very long line carrying charge density 10-12 C/m. What is the electric flux through the imagined spherical surface? (ε0 =8.85*10-12 C2/N m2) A. -3.15 N m2/C B. 5.03 N m2/C 
C. 0.11 N m2/C D. 0.99 N m2/C E. 10.0 N m2/C 6. A solid non-conducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distance r1 = R/4 from the center, the electric field has a magnitude E0. What is the magnitude of the electric field at a radial distance r2 = 2R? A. E0/2 B. E0/4 C. 2E0 D. E0 E. 4E07. A sphere of radius R has a volume charge density given by 3 ρ = 5 C/m. What is the resulting electric field for r > R? A. 5/( ε0r2) B. 5R4/( 4ε0r2) C. 5 / ( 4πε0r2) D. 5/( 4πε0R2) E. 5R3/(3ε0r2 ) 8. A long cylindrical insulator has a uniform charge density, ρ, throughout its volume. What is the electric field as a function of r, the radial distance from the center of the cylinder (r<1)? A. ![]()
B. C. D. E. 3 9. Consider two infinite charged plates, parallel to each other and perpendicular to the page. The charge densities are shown. Find the electric fields magnitudes at points, A, B and C respectively. 
A A.2 0 σ / ε , 3 0 σ / ε , 4 0 σ / ε B.3 0 2σ / ε 3 0 σ / ε , 3 0 2σ / ε C.6 0 σ / ε 6 0 7σ / ε , 6 0 7σ / ε D.6 0 5σ / ε 6 0 7σ / ε , 6 0 11σ / ε![]()
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B ![]()
C 10. In the figure points A, B, and C and charges –q and 2q are located on the x-axis and their x coordinates are given. Rank points A, B and C according to the electric potentials at these points. A. A > B > C B. C > A > B C. B > A > C D. C > B > A E. B > C > A ![]()
A ![]()
-q ![]()
B ![]()
2q ![]()
C ![]()
x=1 ![]()
x=2 ![]()
x=3 ![]()
x=4 ![]()
x=5 11. In the previous problem rank the points according to the potential energies of a proton when placed at these points. A. B > A > C B. A > C > B C. C > A > B D. A > B > C E. C > B > A 12. Two large parallel metal sheets carry charge densities of 10-9 C/m2and -2 x 10-9 C/m2. When they are 2.00 cm apart, what will be the potential difference between them? A. 1.0 V B. 3.4 V C. 9.9 V D. 80 V E. 10.1 V 13. A conducting sphere is charged up such that the potential on its surface is 100 V (relative to infinity). If the sphere's radius was twice as large, but the charge on the sphere was the same, what would be the potential on the surface relative to infinity? A. 50 V B. 200 V C. 25 V D. 100 V E. Cannot be determined14. In the figure shown what is the potential difference, Vab if the charge on the 15 micro-Farad capacitor is 4.0 x 10-6 C? A. 9.50 V ![]()
B. 1.72 V C. 10.3 V D. 20.2 V E. 11.1 V 15. Two identical large parallel metal sheets carry equal but opposite charges. When they are 2.00 cm apart, the potential difference between them is 20.0 V. If they are now moved closer until they are 1.00 cm apart, the potential difference between them will be closest to: F. 5.0 V G. 1.0 V H. 80. V I. 40.0 V J. 10.0 V 16. A conducting solid sphere contains positive charge distributed uniformly on its surface. Which one of the statements about the potential due to this sphere is true? All potentials are measured relative to infinity. F. The potential at the surface is higher than the potential at the center. G. The potential at the center is the same as the potential at infinity. H. The potential at the center of the sphere is the same as the potential at the surface. I. The potential at the center of the sphere is zero. J. The potential at the center of the sphere is higher than at the surface.17. In the figure , each capacitor is 4.0 F and Vab= 100 V. What is the potential difference, Vbd between points b and d ? ![]()
F. 15 V G. 40 V H. 60 V I. 25 V J. 20 V 18. At a distance D from a very long (essentially infinite) uniform line of charge, the electric field strength is 300 N/C. At what distance from the line will the field strength be 100 N/C? A. 2D B. 3D C. D/2 D. D/3 E. D/4 19. A capacitor stores 100 J energy when the charge on the capacitor is 10 C. What is the capacitance of such a capacitor? A. 10.0 F B. 0.25 F C. 0.05 F D. 0.10 F E. 0.50 F 20. You slide a slab of dielectric between the plates of a parallel-plate capacitor. As you do this, the charges on the plates remain constant. What effect does adding the dielectric have on the potential difference between the capacitor plates? A. The potential difference increases. B. The potential difference remains the same. C. The potential difference decreases. D. not enough information given to decide21. A +4.0 μC-point charge and a -4.0-μC point charge are placed as shown in the figure. What is the potential difference, VA - VB, between points A and B? A). 96 kV B). 23 kV C). 48 kV D). 69 kV E). 20 kV 22. The diagram below shows the electric field lines (straight) and equipotential surfaces (circular) of an unknown point charge Q. The electric potential at points A, B, C and D is V = -100 volts, -50 volts, -10 volts, and -1 volts, respectively. When an electron is moved from point B to A, what can you tell about the change in its electric potential energy (U) and the change in electric potential (V)? A). U increases and V decreases B). U decreases and V increases C). Both U and V decrease D). Both U and V increase E). V decreases but U stays constant23. Three capacitors with values shown are connected with a 5V battery as shown. Rank the capacitors by the magnitude of the charge stored on them, from largest to smallest. A). ABC B).C, A, B C) C, AB D) AB, C E) B, A, C 24. What is the equivalent capacitance of the following circuit in units of C, the capacitance when there is no dielectric between the two parallel plates. In the left capacitor a dielectric (K=2) exactly fills the right half of the capacitor. In the right capacitor, the dielectric covers the area of the plates but only half the spacing between the plates. ![]()
A). 2.83 C B). 3.13 C C). 2.0 C D). 5.12 C E). 4.44C25. Positive charges with the indicated values (q is a positive number) are configured in a variety of ways as shown. The vertical and horizontal spacing between the charges are all the same. Rank the configurations from the one with the greatest stored potential energy to that with the least. ![]()
A) B, A, C B) C, A, B C) CAB D) B, AC 26. A sphere of radius R has a volume charge density given by ( ) . What is the resulting electric field for r < R? ( ) A. D/(ε0r) B. D/ε0 C. Dr/(2ε0) D. D/(2ε0) E. D/(2ε0r)
