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

Question

A parallel plate capacitor with adjustable plate separation d and adjustable 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 d increases V. B) After being disconnected from the battery increasing the area A will increase U. C) With the capacitor connected to the battery. increasing ci increases U. D) With the capacitor connected to the battery, increasing the area A will increase Q. E) With the capacitor connected to the battery, increasing the area A will increase C. F) After being disconnected from the battery, decreasing ci decreases C.

Explanation / Answer

here,

Q = C * V

C = A * E0 / d

A) is correct

as , increse in d will increse the voltage

B) is incorrect,

as , increse in A will increase the capacitance

charge is kept constant then U decreases

C) is incorrect

as increase in d decreases capcitance

and then U is decreases as V is constant

D) is correct

as increase in area increases the C

and V is constant then Q increses

E) is correct

as increase in area increases the C

F) is incorrect

as decrease in d , increase C

A , D and E are correct

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