For a series \(\mathrm{LCR}\) circuit, the power loss at resonance is:
1. \(\frac{V^2}{\left[\omega L-\frac{1}{\omega C}\right]}\)

2. \( \mathrm{I}^2 \mathrm{~L} \omega \)

3. \(I^2 R\)

4. \( \frac{\mathrm{V}^2}{\mathrm{C} \omega} \)

Subtopic:  Power factor |
 79%
From NCERT
AIPMT - 2002
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A capacitor of capacity \(C\) has reactance \(X\). If capacitance and frequency are doubled, then the reactance will be:
1. \(4X\)
2. \(\frac{X}{2}\)
3. \(\frac{X}{4}\)
4. \(2X\)

Subtopic:  Different Types of AC Circuits |
 81%
From NCERT
AIPMT - 2001
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A coil of \(40\) H inductance is connected in series with a resistance of \(8~\Omega\) and the combination is joined to the terminals of a \(2~\text{V}\) battery. The time constant of the circuit is:
1. \(1/5~\text{s}\)
2. \(40~\text{s}\)
3. \(20~\text{s}\)
4. \(5~\text{s}\)

Subtopic:  Different Types of AC Circuits |
 69%
From NCERT
AIPMT - 2004
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Turn ratio of a step-up transformer is \(1: 25\). If current in load coil is \(2~\text{A}\), then the current in primary coil will be:

1. \(25~\text{A}\) 2. \(50~\text{A}\)
3. \(0.25~\text{A}\) 4. \(0.5~\text{A}\)
Subtopic:  Transformer |
 88%
From NCERT
AIPMT - 1998
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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 \(C\) is:
1. \(\frac{1}{2 \pi f(2 \pi f L-R)}\)
2. \(\frac{1}{2\pi f(2 \pi f L+R)}\)
3. \(\frac{1}{ \pi f(2 \pi f L-R)}\)
4. \(\frac{1}{\pi f(2 \pi f L+R)}\)

Subtopic:  Different Types of AC Circuits |
 60%
From NCERT
AIPMT - 2005
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The value of the quality factor is:
1. ωLR

2. ωRC

3. LC

4. L/R

Subtopic:  Different Types of AC Circuits |
 79%
From NCERT
AIPMT - 2000
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