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Question

A parallel plate capacitor is charged and then the battery is disconnected, When the plates of the capacitor are brought closer, then

A
energy stored in the capacitor decreases
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B
the potential difference between the plates decreases
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C
the capacitance increases
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D
the electric field between the plates decreases
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Solution

The correct options are
A energy stored in the capacitor decreases
B the potential difference between the plates decreases
C the capacitance increases
As battery is disconnected so charge q is constant.
The parallel plate capacitance is C=Aϵ0dorC1d
If the capacitor are brought closer, d will decrease so C will increase.
Energy stored in capacitor is U=q22CorU1C
As C increases, so U will decrease.
The electric field between plates is E=qAϵ0
As q is constant so E becomes unchanged.
Potential difference between the plates is V=EdorVd
As d decreases so V will decrease.

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