In a series LCR circuit, the current through the ac source is 2 A. If resistor R has a resistance of 10 Ω, the average power dissipated in the circuit is:

1. 20 W

2. 30 W

3. 10 W

4. 40 W

Subtopic:  Power factor |
 78%
From NCERT
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A capacitor of capacitance 1 μF is charged to a potential of 1 V. It is connected in parallel to an inductor of inductance 10-3H. What is the value of the maximum current that will flow in the circuit?

1. 1000 mA
2. 1 mA 
3. 1 μF
4. 1000 mA

Subtopic:  Different Types of AC Circuits |
From NCERT
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In a box Z of unknown elements (L or R or any other combination), an ac voltage E=E0sin(ωt+ϕ) is applied and the current in the circuit is found to be I=I0sin(ωt+ϕ+π4). The unknown elements in the box could be:

1. Only the capacitor
2. Inductor and resistor both
3. Either capacitor, resistor, and an inductor or only capacitor and resistor
4. Only the resistor
Subtopic:  Different Types of AC Circuits |
 64%
From NCERT
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What is the average power dissipated in the ac circuit if current i = 100sin100t A and V=100sin(100t+π/3) volts?

1. 2500 W

2. 250 W

3. 5000 W

4. 4000 W

Subtopic:  Power factor |
 76%
From NCERT
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A bulb is rated at 100 V, 100 W, and is treated as a resistor. The inductance of an inductor (choke coil) that should be connected in series with the bulb to operate the bulb at its rated power with the help of an ac source of 200 V and 50 Hz is:
1. \(\frac{\pi }{\sqrt{3}}~H\)
2. \(100~H\)
3. \(\frac{\sqrt{2}}{\pi }~H\)
4. \(\frac{\sqrt{3}}{\pi }~H\)

Subtopic:  Different Types of AC Circuits |
 56%
From NCERT
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When an alternating voltage is given as \(E = (6 sin\omega t - 2 cos \omega t)\) volt, what is its RMS value?
1. \(4 \sqrt 2 \) V
2. \(2 \sqrt 5\) V
3. \(2 \sqrt 3\) V
4. \(4\) V

Subtopic:  RMS & Average Values |
 77%
From NCERT
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The circuit is in a steady state when the key is at position 1. If the switch is changed from position 1 to position 2, then the steady current in the circuit will be:
  
1. \(E_o \over R\)
2. \(E_o \over 3R\)
3. \(E_o \over 2R\)
4. \(E_o \over 4R\)

Subtopic:  Different Types of AC Circuits |
 62%
From NCERT
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It is found that the current through the LCR series circuit is at its maximum. If Vr,Vc and VL are potential differences across resistance, capacitor, and inductor respectively, then which of the following is correct?

1. \(V_r=V_L>V_C\)   
2. \(V_R \neq V_L=V_C\)
3. \(V_R \neq V_L \neq V_C\)
4. \(V_R=V_C \neq V_L\)
Subtopic:  Different Types of AC Circuits |
 83%
From NCERT
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An alternating voltage (in volts) given by \(V=200\sqrt{2}sin100t\) is connected to a\(1~\mu F\) capacitor through an \(ac\) ammeter. The reading of the ammeter will be:

1. \(10~ \mathrm{mA}\) 2. \(20~ \mathrm{mA}\)
3. \(40~ \mathrm{mA}\) 4. \(80~ \mathrm{mA}\)
Subtopic:  Different Types of AC Circuits |
 88%
From NCERT
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Voltage and current in an ac circuit are given by \(V=5sin\left ( 100\pi t-\frac{\pi }{6}~ \right )~V\) and \(I=4sin\left ( 100\pi t+\frac{\pi }{6}~ \right )~A.\)
Hence:

1. The voltage leads the current by 30°.
2. The current leads the voltage by 30°.
3. The current leads the voltage by 60°.
4. The voltage leads the current by 60°.

Subtopic:  RMS & Average Values |
 71%
From NCERT
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