# 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 |
68%
From NCERT
AIPMT - 2004
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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 |
78%
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 |
80%
From NCERT
AIPMT - 2001
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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 |
59%
From NCERT
AIPMT - 2005
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The value of the quality factor is:
1. $\frac{\omega L}{R}$

2. $\frac{\omega }{RC}$

3. $\sqrt{LC}$

4. L/R

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