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Question

A parallel plate capacitor is charged. If the plates are pulled apart
  1. The capacitance increases
  2. The potential difference increases
  3. The total charge increases
  4. The charge and potential difference remain the same

A
The potential difference increases
B
The charge and potential difference remain the same
C
The total charge increases
D
The capacitance increases
Solution
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Capacitance of a parallel plate capacitor
C=ε0AdC=ε0Ad
A parallel plate capacitor is charged (battery is disconnected) then the plates are pulled apart, the capacitance decreases while the charge remains the same
Potentialdifference=ChargeCapacitance∵Potentialdifference=ChargeCapacitance
potential difference increases

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