A parallel-plate capacitor having plate area $A$ and plate separation $d$ is joined to a battery of emf $E$ and internal resistance $R$ at $t = 0$ . Consider a plane surface of area $A / 2$ , parallel to the plates and situated symmetrically between them. If the displacement current through this surface as a function of time is given as:

$i_{d} = \frac{E}{n R} e^{- \frac{t d}{ε_{0} A R}}$

Where, $ε_{0}$ is the permittivity of free space.

The value of $n$ is :

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