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Question

A parallel capacitor plate is charged and then isolated. The effect of increasing of plate separation on charge, potential, capacitance respectively are

A
constant, decreases, decreases
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B
increase, decreases, decreases
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C
constant, decreases, increases
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D
constant, increases, decreases.
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Solution

The correct option is D constant, increases, decreases.
For parallel plate capacitor C=ε0Ad ... 1
For charged capacitor Q=CV .. 2
When a parallel plate capacitor is charged and then isolated the charge Q on the capacitor remains constant
From 1, Capacitance C is inversely proportional to d (separation between the plates)
Hence on increasing plate separation i.e d the capacitance of the capacitor decreases
From 2, C is inversely proportional to V hence potential V increases as C decreases
Correct option is D

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