In a series LCR circuit, resistance R = 10Ω and the impedance Z = 20Ω. The phase difference between the current and the voltage is 

(1) 30°

(2) 45°

(3) 60°

(4) 90°

Subtopic:  Different Types of AC Circuits |
 82%
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In the circuit shown below, the AC source has voltage \(V = 20\cos(\omega t)\) volts with \(\omega =2000\) rad/sec. The amplitude of the current is closest to:
           

1. \(2\) A

2. \(3.3\) A

3. \(\frac{2}{\sqrt{5}}\) A

4. \(\sqrt{5}~\text{A}\) 

Subtopic:  Different Types of AC Circuits |
 55%
From NCERT
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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 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 |
 86%
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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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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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