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Official PYQ · 2016

GATE EC 2016 Set 2 Q55 — Differential Equations

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A positive charge qq is placed at x=0x=0 between two infinte metal plates placed at x=−dx=-d and at x=+dx=+d respectively. The metal plates lie in the yzyz plane.

                                                     

The charge is at rest at t=0t=0, when a voltage +V+V is applied to the plate at −d-d and voltage −V-V is applied to the plate at x=+dx=+d. Assume that the quantity of the charge qq is small enough that it does not perturb the field set up by the metal plates. The time that the charge qq takes to reach the right plate is proportional to 

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Answer: C

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