A small signal voltage is applied across an ideal capacitor . [2016]

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Q.
A small signal voltage $V (t) = V_{0} \sin ω t$ is applied across an ideal capacitor $C$ . [2016]

1 Current $I (t)$ is in phase with voltage $V (t)$ .

2 Current $I (t)$ leads voltage $V (t)$ by $180 °$ .

3 Current $I (t)$ lags voltage $V (t)$ by $90 °$ .

4 Over a full cycle the capacitor $C$ does not consume any energy from the voltage source.

Ans.
(4)

When an ideal capacitor is connected with an AC voltage source, current leads voltage by 90°. Since, energy stored in capacitor during charging is spent in maintaining charge on the capacitor during discharging. Hence over a full cycle the capacitor does not consume any energy from the voltage source.

Solution

Q.
A small signal voltage $V (t) = V_{0} \sin ω t$ is applied across an ideal capacitor $C$ . [2016]

1 Current $I (t)$ is in phase with voltage $V (t)$ .

2 Current $I (t)$ leads voltage $V (t)$ by $180 °$ .

3 Current $I (t)$ lags voltage $V (t)$ by $90 °$ .

4 Over a full cycle the capacitor $C$ does not consume any energy from the voltage source.

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Solution

Q. A small signal voltage V(t)=V0sinωt is applied across an ideal capacitor C. [2016]

1 Current I(t)is in phase with voltage V(t).

2 Current I(t) leads voltage V(t) by 180°.

3 Current I(t) lags voltage V(t) by 90°.

4 Over a full cycle the capacitor C does not consume any energy from the voltage source.

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Q.
A small signal voltage $V (t) = V_{0} \sin ω t$ is applied across an ideal capacitor $C$ . [2016]

1 Current $I (t)$ is in phase with voltage $V (t)$ .

2 Current $I (t)$ leads voltage $V (t)$ by $180 °$ .

3 Current $I (t)$ lags voltage $V (t)$ by $90 °$ .

4 Over a full cycle the capacitor $C$ does not consume any energy from the voltage source.