In an ac circuit the reactance of a coil is \(\sqrt{3}\) times its resistance, the phase difference between the voltage across the coil to the current through the coil will be:
1. \( \pi / 3 \)
2. \( \pi / 2 \)
3. \( \pi / 4 \)
4. \( \pi / 6\)

Subtopic:  Different Types of AC Circuits |
 76%
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The capacity of a pure capacitor is 1 farad. In dc circuits, its effective resistance will be 

1. Zero

2. Infinite

3. 1 ohm

4. 1/2 ohm

Subtopic:  AC vs DC |
 62%
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The power factor of an ac circuit having resistance (R) and inductance (L) connected in series and an angular velocity ω is 

1. R/ωL

2. R/(R2+ω2L2)1/2

3. ωL/R

4. R/(R2ω2L2)1/2

Subtopic:  Different Types of AC Circuits |
 83%
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An inductor of inductance \(L\) and resistor of resistance \(R\) are joined in series and connected by a source of frequency \(\omega\). The power dissipated in the circuit is:

1. \(\dfrac{\left( R^{2} +\omega^{2} L^{2} \right)}{V}\) 2. \(\dfrac{V^{2} R}{\left(R^{2} + \omega^{2} L^{2} \right)}\)
3. \(\dfrac{V}{\left(R^{2} + \omega^{2} L^{2}\right)}\) 4. \(\dfrac{\sqrt{R^{2} + \omega^{2} L^{2}}}{V^{2}}\)
Subtopic:  Power factor |
 79%
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In an \(LCR\) circuit, the potential difference between the terminals of the inductance is \(60\) V, between the terminals of the capacitor is \(30\) V and that between the terminals of the resistance is \(40\) V. The supply voltage will be equal to:

1. \(50\) V

2. \(70\) V

3. \(130\) V

4. \(10\) V

Subtopic:  Different Types of AC Circuits |
 87%
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In a circuit, \(L, C\) and \(R\) are connected in series with an alternating voltage source of frequency \(f.\) The current leads the voltage by \(45^{\circ}\). The value of \(C\) will be:

1. \(\dfrac{1}{2 \pi f \left( 2 \pi f L + R \right)}\) 2. \(\dfrac{1}{\pi f \left(2 \pi f L + R \right)}\)
3. \(\dfrac{1}{2 \pi f \left( 2 \pi f L - R \right)}\) 4. \(\dfrac{1}{\pi f \left(2 \pi f L - R \right)}\)
Subtopic:  Different Types of AC Circuits |
 62%
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For the series LCR circuit shown in the figure, what is the resonance frequency and the amplitude of the current at the resonating frequency ?

1. 2500 rad/s and 52A

2. 2500 rad/s and 5A

3. 2500 rad/s and 52A

4. 25 rad/s and 52A

Subtopic:  LC Oscillations (OLD NCERT) |
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In an LR-circuit, the inductive reactance is equal to the resistance R of the circuit. An e.m.f. E=E0cos(ωt) applied to the circuit. The power consumed in the circuit is:

1. E02R

2. E022R

3. E024R

4. E028R

Subtopic:  Different Types of AC Circuits |
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One 10 V, 60 W bulb is to be connected to 100 V line. The required induction coil has a self-inductance of value: (f = 50 Hz) 

1. 0.052 H

2. 2.42 H

3. 16.2 mH

4. 1.62 mH

Subtopic:  Different Types of AC Circuits |
 56%
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In the circuit given below, what will be the reading of the voltmeter 

1. 300 V

2. 900 V

3. 200 V

4. 400 V

Subtopic:  Different Types of AC Circuits |
 91%
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