For each of the configurations (A, B, C. and D) shown in the Figure 1 (right) gi

Question

For each of the configurations (A, B, C. and D) shown in the Figure 1 (right) give the stored energy in the system of capacitors given that all capacitors have the same capacitance of 4 mu F when the potential difference between the terminals (dark dots) is 1000 Volt. Circle your answers. Config. A: a) 4 J b) 3 J c) 4/3 J d) 6 J e) 1 J Config. B: a) 4 J b) 3 J c) 4/3 J d) 6 J e) 1 J Config. C: a) 4 J b) 3 J c) 4/3 J d) 6 J e) 1 J Config. D: a) 4 J b) 3 J c) 4/3 J d) 6 J e) 1 J Analyze the circuits provided in Figure 1 (left) with R1 = R3 = 20 ohm, R2 = 30 ohm, epsilon_i = 30 V epsilon_r = 10 V and give the following currents and potential differences [note the convention V_xy = V_x - V_y], Circle your answers. I_1: a) 1 A b) 0.75 A c) 0.5 A d) -0.25 A I_2: a) 1 A b) 0.75 A c) 0.5 A d) -0.25 A I_1: a) 1 A b) 0.75 A c) 0.5 A d) -0.25 A I_2: a) 1 A b) 0.75 A c) 0.5 A d) -0.25 A V_AB: a) 0 V b) 5 V c) 15 V d) 20 V e) -5 V V_CB: a) 0 V b) 5 V c) 15 V d) 20 V e) -5 V V_DE: a) 0 V b) 5 V c) 15 V d) 20 V e) -5 V A planar capacitor of capacitance 1 mu F is wired to a battery providing a potential difference of 1000 V across the capacitor plates. Once charged the capacitor is disconnected to the battery. Circle your answers. 1/ what is the potential difference across the capacitor plates after it has been disconnected? a) 1 V b) 1000 V c) 500 V d) 0 V 2/ the distance between the capacitor plates is increased by a factor 10. Give the final stored energy? a) 0.5 J b) 5 J c) 0.05 J d) 1 mJ

Explanation / Answer

1) a) ctot = c*c/2c = c/2 = 2*10^-6 F

u = 1/2cv^2 = 1 J

c) c tot = 2c*c/3c = 2/3c = 2/3*4*10^-6 F

u = 1/2*2/3*4*10^-6*10^6 = 4/3 J

b) c tot = 2c = 8*10^-6 F

u = 1/2*8*10^-6*1066 = 4 J

d) c tot = c/2+c = 3c/2 = 6*10^-6 F

u = 1/2*6*10^-6*10^6 = 3J

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