An alternating emf volt is applied to a capacitor of , the rms value of current in the circuit is __ mA.

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Solution

Q.
An alternating emf $E = 110 \sqrt{2} \sin 100 t$ volt is applied to a capacitor of $2 μ F$ , the rms value of current in the circuit is __ mA. [2024]

Ans.
(22)

$E_{r m s} = \frac{E_{0}}{\sqrt{2}} = \frac{110 \sqrt{2}}{\sqrt{2}} = 110 V$

$I_{r m s} = \frac{E_{r m s}}{X_{c}} = E_{r m s} \cdot ω C$

$= 110 \times 100 \times 2 \times 10^{- 6} = 22 \times 10^{- 3} A$

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