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GATE 2016 EC (EC2) – Question 62

Electromagnetics · Maxwell's Equations · 2 marks · Multiple choice

A movable parallel-plate capacitor initially stores energy E with plate separation d. It is electrically isolated, and the separation is increased to 2d. Neglect fringing. The final stored energy is

Diagram for GATE 2016 EC (EC2) question 62
  1. $2E$
  2. $\sqrt2E$
  3. $E$
  4. $E/2$

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Show answer and explanation

Correct answer: (A) $2E$

Explanation

Electrical isolation keeps charge Q constant. Doubling plate separation halves capacitance because $C=\epsilon A/d$.

With fixed Q, stored energy is $Q^2/(2C)$. Replacing C by C/2 doubles the energy to **2E, A**. The extra energy is the mechanical work done in pulling the attracting plates apart.

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