A coaxial cylindrical capacitor with inner radius 5mm, outer radius 6mm and length 50cm has dielectric for which $ε_{r} = 6.7$ . An A.C voltage $V = 250 \sin (377 t) V$ is applied across capacitor. If displacement current amplitude is $\frac{9.63}{10^{n}} A$ . The value of ‘n’ is

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Detailed Solution

$I_{d} = ε_{0} ε_{r} \frac{d E}{d t} = ε_{0} ε_{r} 2 π r l \frac{q}{2 π ε_{0} ε_{r} r l} = C \frac{d V}{d t} = \frac{2 π ε_{0} ε_{r} l}{\ln (\frac{b}{a})} \times 250 \times 377 \cos 377 t$

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