1. We place two capacitors with identical & and dimensions outlined in Fig. 1 under the...

Transcribed Image Text:

1. We place two capacitors with identical & and dimensions outlined in Fig. 1 under the same voltage (i.e. we apply the same voltage source). (a) Which capacitor has a larger capacitance and why? (b) Which capacitor has more voltage? This should be trivial. (c) Which capacitor has more charge? Please answer in terms of Q = CV. (d) Which capacitor stores more energy? You may discuss in terms of either U = ½ CV² or ½ Q²/C. 2. We place two capacitors with identical and dimensions outlined in Fig. 2 with the same charge (i.e. we apply the same current source for the same time duration). (a) Which capacitor has a larger capacitance and why? (b) Which capacitor has more voltage? Please answer in terms of Q = CV. (c) Which capacitor has more charge? This should be trivial. (d) Which capacitor stores more energy? You may discuss in terms of either U = ½ CV² or ½ Q²/C. (e) was your answer to 2d the same as to 1d? Please justify. Fig. 1 G G = 4 cm² d = 1 cm A = 1 cm² d 2 cm Fig. 2 +Q + A = 4 cm² d = 1 cm +Q A = 1 cm² d = 2 cm 1. We place two capacitors with identical & and dimensions outlined in Fig. 1 under the same voltage (i.e. we apply the same voltage source). (a) Which capacitor has a larger capacitance and why? (b) Which capacitor has more voltage? This should be trivial. (c) Which capacitor has more charge? Please answer in terms of Q = CV. (d) Which capacitor stores more energy? You may discuss in terms of either U = ½ CV² or ½ Q²/C. 2. We place two capacitors with identical and dimensions outlined in Fig. 2 with the same charge (i.e. we apply the same current source for the same time duration). (a) Which capacitor has a larger capacitance and why? (b) Which capacitor has more voltage? Please answer in terms of Q = CV. (c) Which capacitor has more charge? This should be trivial. (d) Which capacitor stores more energy? You may discuss in terms of either U = ½ CV² or ½ Q²/C. (e) was your answer to 2d the same as to 1d? Please justify. Fig. 1 G G = 4 cm² d = 1 cm A = 1 cm² d 2 cm Fig. 2 +Q + A = 4 cm² d = 1 cm +Q A = 1 cm² d = 2 cm