A parallel plate capacitor with adjustible plate separation d and adjustible are

Question

1. A parallel plate capacitor with adjustible plate separation

d and adjustible area A is connected to a battery. The capacitor is fully charged to Q Coulombs and a voltage of V Volts. (C is the capacitance and U is the stored energy.) Give all correct answers concerning a parallel-plate capacitor charged by a battery (e.g. B, AC, CDF).

A) After being disconnected from the battery, increasing the area A will decrease V.
B) After being disconnected from the battery, increasing the area A will decrease U.
C) After being disconnected from the battery, decreasing d increases U.
D) With the capacitor connected to the battery, increasing d decreases Q.
E) With the capacitor connected to the battery, decreasing d increases C.
F) With the capacitor connected to the battery, increasing the area A will increase C.

Explanation / Answer

ABDEF

C = A*epsilon/d

A) Q = C*V

Here Q is constant.

as A increases C increases and V decreases.

B) U = Q^2/(2*C)

Here Q is constant.

as A increases C increases and U decreases

D) V = Q/C

here V is constant

as d increases C decreses. so, Q decreases

E)V = Q/C

here V is constant

as d decreases C increases. so, Q increases

F)
V = Q/C

here V is constant

as A increases C increases. so, Q decreases

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