A parallel plate capacitor having plates of radius $6 \mathrm{~cm}$ has capacitance $100 \mathrm{pF}$. It is…

A parallel plate capacitor having plates of radius $6 \mathrm{~cm}$ has capacitance $100 \mathrm{pF}$. It is connected to $230 \mathrm{~V}$ a.c. supply with angular frequency $300 \mathrm{rad} / \mathrm{s}$. the r.m.s. value of current is
  1. $6.9 \times 10^{-6} \mathrm{~A}$
  2. $2.3 \times 10^{-5} \mathrm{~A}$
  3. $6.9 \times 10^{-5} \mathrm{~A}$
  4. $6.9 \times 10^{-7} \mathrm{~A}$

Solution

$\begin{aligned} & \mathrm{i}=\frac{\mathrm{V}}{\mathrm{X}_{\mathrm{C}}}=\mathrm{V} \omega \mathrm{C} \\ & =230 \times 300 \times 100 \times 10^{-12} Å \\ & =6.9 \times 10^{-6} Å\end{aligned}$

Asked in: MHT CET 2021 (22 Sep Shift 2)

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