# Physics 212 Midterm 2 Form A

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1 1. A wire contains a steady current of 2 A. The charge that passes a cross section in 2 s is: A C B C C. 1 C D. 2 C E. 4 C 2. In a Physics 212 lab, Jane measures the current versus voltage characteristics for two nichrome wires and makes the graph shown. The wires are of the same diameter but have different lengths. Which of the following statements is correct? A. Wire A is shorter than wire B. B. Wire A has a larger resistance than wire B. C. Wire A has a larger resistivity than wire B. D. Wire A has a smaller resistivity than wire B. E. Neither wire obeys Ohm's Law. 3. The current density across a cylindrical conductor of radius R varies according to the equation J = J 0 (r/r), where r is the distance from the central axis. Thus, the current density is zero at the axis (r = 0) and increases linearly to J 0 at the surface (r = R). Calculate the current in terms of J 0 and R. A. i = (πr 2J 0 )/2 B. i = (2πR 2J 0 )/3 C. i = (πr 2J 0 )/6 D. i = (πr 3J 0 )/3 E. i = (πr 3J 0 )/6 4. A wire is 1 m long and m 2 in cross-sectional area. When connected to a potential difference of 2 V, a current of 4 A exists in the wire. The resistivity of the wire material is: A Ωm B Ωm C Ωm D Ωm E Ωm Page 1

2 5. You wish to double the rate of energy dissipation in a heating device. You could: A. double the potential difference keeping the resistance the same. B. double the current keeping the resistance the same. C. double the resistance keeping the potential difference the same. D. double the resistance keeping the current the same. E. double both the potential difference and current. 6. Four circuits have the form shown in the diagram. The capacitor is initially uncharged and the switch S is open. The values of the emf, resistance R, and capacitance C for each for the circuits are circuit 1: emf = 18 V, R = 3 Ω, C = 1 µf circuit 2: emf = 18 V, R = 6 Ω, C = 9 µf circuit 3: emf = 12 V, R = 1 Ω, C = 7 µf circuit 4: emf = 10 V, R = 5 Ω, C = 7 µf Rank the circuits according to the current just after switch S is closed least to greatest. A. 1, 2, 3, 4 B. 4, 3, 2, 1 C. 4, 2, 3, 1 D. 4, 2, 1, 3 E. 3, 1, 2, 4 7. In the circuit with emf = 18V, R = 6 Ohms, and C = 1 µf, the capacitor has a charge of 10 µc and the switch is closed. Just after the switch is closed, what is the current through the resistor? (Hint: write the loop equation) A. 3A B. 0A C. 1.1A D. 1.9A E. 1.3A Page 2

3 a 12Ω 5Ω 2V i 2 3Ω 4V i 1 10V i 3 4Ω 8. The figure above shows a circuit containing ideal batteries and resistors. A student selects the currents I 1, I 2 and I 3 in the directions indicated in order to do a loop analysis of this circuit. Which of the junction equations is CORRECT? A. I1 + I 2 + I 3 = 0 B. I1 - I 2 + I 3 = 0 C. I1 + I 2 - I 3 = 0 D. I1 - I 2 - I 3 = 0 E. I1 = I 2 9. In the figure above, starting at point a and proceeding counterclockwise, which loop equation is correct? A. 2V - i1 4Ω + 10V + i 2 3Ω - i 1 12Ω = 0 B. -2V - i1 4Ω + 10V + i 2 3Ω - i 1 12Ω = 0 C. 2V - i1 4Ω - 10V + i 2 3Ω - i 1 12Ω = 0 D. -2V - i1 4Ω + 10V - i 3 3Ω i 1 12Ω = 0 E. 2V - i1 4Ω + 10V - i 2 3Ω - i 1 12Ω = A car battery with a 12 V emf has an internal resistance of Ω. If it supplies a current of 20 A to the car circuitry, what is the potential difference across its terminals? A. 9.1 V B. 12 V C V D. 11 V E V Page 3

4 11. All resistors shown are 30Ω. What is the resistance between points a and b? a b A. 25.7Ω B. 12Ω C. 15Ω D. 30Ω E. This combination cannot be reduced treating resistors in either series or parallel. 12. A charged capacitor is being discharged through a resistor. At the end of one time constant the charge has been reduced by (1 1/e) = 63% of its initial value. At the end of two time constants the charge has been reduced by what percent of its initial value? A. 82% B. 86% C. 100% D. between 90% and 100% E. need to know more data to answer the question 13. What is the resistance between points a and b? a b 590Ω A. 6 Ω B Ω C. 18 Ω D. 608 Ω E Ω Page 4

5 14. A particle of charge Q = +2 C has an instantaneous velocity v = (4i 3j) m/s and is moving through a magnetic field B = (4k) T. Determine the magnitude of the instantaneous magnetic force on the particle. A. 10 N B. 20 N C. 30 N D. 40 N E. 60 N 15. A proton (charge = +e) travelling at some finite speed enters a region that contains a uniform magnetic field B and a uniform electric field E that are perpendicular to each other and also to the initial velocity v of the particle. Which of the following conditions is necessary for the proton to continue moving without any change in velocity? A. This is impossible the proton s velocity would have to change. B. B = ee C. EB = ev D. v = E/B E. ev = E/B 16. A rectangular loop is placed in a uniform magnetic field aligned in the positive z-direction. There is a current I circulating in the loop. In which of the following positions will the loop rotate around the z-axis? z z z z A B C D A. A B. B C. C D. D E. none of the above Page 5

6 17. A loop of wire carrying a current of 2.0 A is in the shape of a right triangle with two equal sides, each 15 cm long. A 0.7 T uniform magnetic field is in the plane of the triangle and is perpendicular to the hypotenuse. The total magnetic force on the two equal sides has a magnitude of: A. 0 B N C N D N E N 18. Electrons are going around a circle in a counterclockwise direction as shown. At the center of the circle they produce a magnetic field that is: A. into the page. B. out of the page. C. to the left. D. to the right. E. zero. 19. Equal currents flow through four wires into or out of the page as shown. What is the direction of the magnetic field at the point C? P A. B. C. into the page D. out of the page E.? Page 6

7 20. Two long straight wires are parallel and carry current in the same direction. The currents are 8.0 A and 12 A and the wires are separated by 0.40 m. The magnetic field in tesla at a point midway between the wires is: A. 0 B C D E Page 7

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