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ling leaming A circuit (shown to the right) initially consists of a parallel pla

ID: 1340286 • Letter: L

Question

ling leaming A circuit (shown to the right) initially consists of a parallel plate capacitor connected to the terminals of a 5.0 V battery. For each of the changes to the circuit detailed below, determine whether the energy stored by the Capacitor between points Dand E w increase, decrease, or remain unchanged Unchanged Decreases ncreases The area of the Another 5.0 V battery is Another capacitor is connected between points capacitor's plates are connected between C and E, with the points D and B its plate separation is doubled terminal connected to C The wire connecting points The wire from C to D C and D is replaced with is replaced by a 2.0 V battery, with the another capacitor terminal connected to C

Explanation / Answer

a)first case by connecting 5v battery and 2 volts at cd

energy of capacitor =(1/2)cv2

as v across capacitor decrease energy decreases

b)capacitance =epsilon x area/distance =c

new capacitance =8c

new voltage across capcitor = v/2

energy = (1/2)cv2 =(1/2) x 8c x v2/4 =cv2

energy is increased

c)capacitance across de = 16c

8cv1 =16cv2

v2 =v1/2

v1+v2 =v

v2 =v/3

energy =(1/2)cv2 =(1/2) x8c x(v/3)2 =8cv2/18 =0.44cv2

energy decreased