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. | \(60^\circ\) | 2. | \(90^\circ\) |
3. | \(30^\circ\) | 4. | \(45^\circ\) |
1. | \(Z_1<Z_2\) | 2. | \(Z_1+Z_2=20~\Omega\) |
3. | \(Z_1=Z_2\) | 4. | \(Z_1>Z_2\) |
1. | \(4~ \Omega\) | 2. | \(6~ \Omega\) |
3. | \(1~ \Omega\) | 4. | \(3~ \Omega\) |
1. | \(\nu=100 \mathrm{~Hz} ; ~\nu_0=\frac{100}{\pi} \mathrm{~Hz}\) |
2. | \(\nu_0=\nu=50 \mathrm{~Hz}\) |
3. | \(\nu_0=\nu=\frac{50}{\pi} \mathrm{Hz}\) |
4. | \(\nu_{0}=\frac{50}{\pi}~ \mathrm{Hz}, \nu=50 \mathrm{~Hz}\) |
Statement I: | In an AC circuit, the current through a capacitor leads the voltage across it. |
Statement II: | \(\pi.\) | In AC circuits containing pure capacitance only, the phase difference between the current and the voltage is
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 inductor of inductance \(L\), a capacitor of capacitance \(C\) and a resistor of resistance \(R\) are connected in series to an AC source of potential difference \(V\) volts as shown in Figure. The potential difference across \(L\), \(C\) and \(R\) is \(40~\text{V}\), \(10~\text{V}\) and \(40~\text{V}\), respectively. The amplitude of the current flowing through the \(LCR\) series circuit is \(10\sqrt{2}~\text{A}\). The impedance of the circuit will be:
1. \(4~\Omega\)
2. \(5~\Omega\)
3. \(4\sqrt{2}~\Omega\)
4. \(\frac{5}{\sqrt{2}}~\Omega\)