In an \(LCR\) circuit having \(L = 8.0~\text{H}\), \(C= 0.5~\mu\text{F}\) and \(R = 100~\Omega\) in series, what is the resonance frequency?
1. \(600\) radian/sec
2. \(600\) Hz
3. \(500\) radian/sec
4. \(500\) Hz
A circuit consists of \(3\) ohms of resistance and \(4\) ohms of reactance. The power factor of the circuit is:
| 1. | \(0.4\) | 2. | \(0.6\) |
| 3. | \(0.8\) | 4 | \(1.0\) |
The power factor of a good choke coil is:
1. Nearly zero
2. Exactly zero
3. Nearly one
4. Exactly one
In a series \(LCR\) circuit, resistance \(R=10~\Omega\) and the impedance \(Z=20~\Omega\).
The phase difference between the current and the voltage will be:
1. \(30^{\circ}\)
2. \(45^{\circ}\)
3. \(60^{\circ}\)
4. \(90^{\circ}\)
In the circuit shown in the figure, neglecting source resistance, the voltmeter and ammeter reading respectively will be:

1. \(0~\text{V}, 3~\text{A}\)
2. \(150~\text{V}, 3~\text{A}\)
3. \(150~\text{V}, 6~\text{A}\)
4. \(0~\text{V}, 8~\text{A}\)
An AC source of variable frequency \(f\) is connected to an \(LCR\) series circuit. Which of the following graphs represents the variation of the current \(I\) in the circuit with frequency \(f\)?
| 1. | ![]() |
2. | ![]() |
| 3. | ![]() |
4. | ![]() |
| 1. | \(0.67~\text{W}\) | 2. | \(0.78~\text{W}\) |
| 3. | \(0.89~\text{W}\) | 4. | \(0.46~\text{W}\) |
Match List I (expression for current) with List II (rms value of current) and select the correct answer.
| List I | List II | ||
| (a) | \(I=I_0 \sin \omega t \cos \omega t\) | (i) | \(I_0\) |
| (b) | \(I=I_0 \sin \left(\omega t+\frac{\pi}{3}\right)\) | (ii) | \(I_0/\sqrt{2}\) |
| (c) | \(I_0(\sin \omega t+\cos \omega t)\) | (iii) | \(I_0e\) |
| (d) | \(I=I_0(e)\) | (iv) | \(I_0/2\sqrt{2}\) |
| A | B | C | D | |
| 1. | (iv) | (ii) | (i) | (iii) |
| 2. | (iv) | (ii) | (iii) | (i) |
| 3. | (ii) | (iv) | (iii) | (i) |
| 4. | (ii) | (iv) | (i) | (iii) |
| 1. | \(120\) V | 2. | \(220\) V |
| 3. | \(30\) V | 4. | \(90\) V |