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Capacitor in an AC Circuit

Obtain the re...

Question

Obtain the relation $I = I_{0} sin (ω t + π / 2)$ and $X_{C} = 1 / ω C$ for a pure capacitor across which an altering $e m f = V = V_{0} sin ω t$ is applied. Draw a phasor diagram showing $e m f V$ , current $I$ and their phase difference $ϕ$

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Solution

The phase difference between the current and voltage is $90^{\circ}$ .

It can be shown in the above phasor diagram,

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