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  4. To establish an instantaneous displacement current of I ampere in the space between the plates of a parallel plate capacitor of (1/2) farad, the value of (d V/d t) is

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Q. To establish an instantaneous displacement current of $I $ ampere in the space between the plates of a parallel plate capacitor of $\frac{1}{2}$ farad, the value of $\frac{d V}{d t}$ is

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Solution:

$I_{d}=\frac{A \varepsilon_{0}}{d} \frac{d E}{d t} \times d$
$I=\frac{1}{2} \frac{d E}{d t} \times d$
$I=\frac{1}{2} \frac{d V}{d t} \times \frac{1}{d} \cdot d$
$\frac{d V}{d t}=2 I$