First slide

AC Circuits

Question

An alternating voltage E(in volt ) $200 \sqrt{2}$ sin(100t) is connected to one microfarad capacitor through an A.C. ammeter. The reading of the ammeter (in mA ) shall be

Moderate

Solution

$\begin{array}{l} E_{r m s} = \frac{E_{0}}{\sqrt{2}} \\ G i v e n : E_{0} = 200 \sqrt{2} \\ \Rightarrow E_{r m s} = 200 \\ N o w, X_{C} = \frac{1}{ω C} = \frac{1}{100 \times 10^{- 6}} = 10^{4} Ω \\ \Rightarrow E_{r m s} = I X_{C} \\ \Rightarrow I = \frac{200}{10^{4}} = 20 m A \end{array}$

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