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A parallel plate capacitor made of circular plates each of radius R=6 cm has capacitance $C = 100 p F .$ The capacitor is connected to a $230 V$ a.c. supply with an angular frequency of $300 s^{- 1} .$ The rms value of displacement current in $μ A$ is $I .$ Find the value of $10 I .$

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answer is 69.

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Detailed Solution

$i_{rms} = ε_{0} \frac{d ϕ_{E}}{d t}$

$= (\frac{ε_{0} A}{d}) \frac{d V}{d t}$

$= (\frac{ε_{0} A}{d}) ω V_{r m s}$

$\begin{array}{l} = 100 \times 10^{- 12} \times 300 \times 230 \\ = 6.9 μ A \end{array}$

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