GATE EC 2016 Set 2 — Question 62
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Electromagnetics → Maxwell's Equations
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Question
The parallel-plate capacitor shown in the figure has movable plates. The capacitor is charged so that the energy stored in it is when the plate separation is . The capacitor is then isolated electrically and the plates are moved such that the plate separation becomes .
At this new plate separation, what is the energy stored in the capacitor, neglecting fringing effects?
Correct answer
(A) 2E
Solution
The energy stored in a capacitor is given by . When the capacitor is isolated electrically, the charge remains constant. The capacitance of a parallel-plate capacitor is . When the plate separation is increased from to , the new capacitance becomes . The new energy stored is .
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