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A positive charge $q$ is placed at $x=0$ between two infinte metal plates placed at $x=-d$ and at $x=+d$ respectively. The metal plates lie in the $yz$ plane.

                                                     

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

  1. $d/V$
  2. $\sqrt{d}/V$
  3. $d/\sqrt{V}$
  4. $\sqrt{d/V}$
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