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Electrostatic Potential And Capacitance

Question
CBSEENPH12037350

What will be the effect on capacity of a parallel plate condenser when area of each plate is doubled and distance between them is also doubled?

Solution
Capacitance is given by-C=εAd
where, A is the area of cross-section,
d is the distance between two plates.

When, area of each plate is doubled and distance between them is also doubled,
Capacitance-C=ε2A2d

The factor 2 cancels out each other. This implies, capacitance remains unaffected.

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