| Statement I: | In an AC circuit, the current through a capacitor leads the voltage across it. |
| Statement II: | In AC circuits containing pure capacitance only, the phase difference between the current and the voltage is \(\pi.\) |
| 1. | Both Statement I and Statement II are correct. |
| 2. | Both Statement I and Statement II are incorrect. |
| 3. | Statement I is correct but Statement II is incorrect. |
| 4. | Statement I is incorrect but Statement II is correct. |
An AC source given by \(V=V_m\sin(\omega t)\) is connected to a pure inductor \(L\) in a circuit and \(I_m\) is the peak value of the AC current. The instantaneous power supplied to the inductor is:
| 1. | \(\dfrac{V_mI_m}{2}\mathrm{sin}(2\omega t)\) | 2. | \(-\dfrac{V_mI_m}{2}\mathrm{sin}(2\omega t)\) |
| 3. | \({V_mI_m}\mathrm{sin}^{2}(\omega t)\) | 4. | \(-{V_mI_m}\mathrm{sin}^{2}(\omega t)\) |
| 1. | \(\nu=100 ~\text{Hz} ; ~\nu_0=\dfrac{100}{\pi} ~\text{Hz}\) |
| 2. | \(\nu_0=\nu=50~\text{Hz}\) |
| 3. | \(\nu_0=\nu=\dfrac{50}{\pi} ~\text{Hz}\) |
| 4. | \(\nu_{0}=\dfrac{50}{\pi}~ \text{Hz}, \nu=50 ~\text{Hz}\) |
| 1. | \(1 / \sqrt{2}\) times the rms value of the AC source. |
| 2. | the value of voltage supplied to the circuit. |
| 3. | the rms value of the AC source. |
| 4. | \(\sqrt{2}\) times the rms value of the AC source. |
| 1. | capacitive reactance remains constant |
| 2. | capacitive reactance decreases. |
| 3. | displacement current increases. |
| 4. | displacement current decreases. |
| 1. | \(1.59~\text{kHz}\) | 2. | \(15.9~\text{rad/s}\) |
| 3. | \(15.9~\text{kHz}\) | 4. | \(1.59~\text{rad/s}\) |
| 1. | \(25~\Omega\) | 2. | \(10\sqrt{2}~\Omega\) |
| 3. | \(15~\Omega\) | 4. | \(5\sqrt{5}~\Omega\) |