A time varying potential difference is applied between the plates… - Vidyadip

Question

A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance $2.5 \mu F$. The dielectric constant of the medium between the capacitor plates is 1 . It produces an instantaneous displacement current of 0.25 mA in the intervening space between the capacitor plates, the magnitude of the rate of change of the potential difference will be __________ $Vs ^{-1}$.

✓

Answer

$\frac{ CdV }{ dt }= I _{ d }$
$
\begin{array}{l}
\frac{dV}{dt}=\frac{I_{d}}{C} \\
=\frac{0.25 \times 10^{-3}}{2.5 \times 10^{-6}} \\
=100
\end{array}
$

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