First slide

Alternating Current and voltage

Question

An alternating voltage $E = 200 \sqrt{2} \sin (100 t)$ is connected to a 1 microfarad capacitor through an ac ammeter. The reading of the ammeter shall be

Moderate

A

10 mA
B

20 mA
C

40 mA
D

80 mA

Solution

Reading of ammeter $= i_{rms} = \frac{V_{rms}}{X_{C}} = \frac{V_{0} ωC}{\sqrt{2}}$
$= \frac{200 \sqrt{2} \times 100 \times (1 \times 10^{- 6})}{\sqrt{2}} = 2 \times 10^{- 2} A = 20 mA$

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