# The variation of the instantaneous current (I) and the instantaneous emf (E) in a circuit are shown in the figure. Which of the following statements is correct? 1. The voltage lags behind the current by π/2. 2. The voltage leads the current by π/2. 3. The voltage and the current are in phase. 4. The voltage leads the current by π.

Subtopic:  RMS & Average Values |
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A constant voltage at different frequencies is applied across a capacitance C as shown in the figure.

Which of the following graphs accurately illustrates how current varies with frequency?

 1 2 3 4
Subtopic:  Different Types of AC Circuits |
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The output current versus time curve of a rectifier is shown in the figure. The average value of the output current in this case will be:

1. 0
2. $\frac{{I}_{0}}{2}$
3. $\frac{2{I}_{0}}{\pi }$
4. I0

Subtopic:  RMS & Average Values |
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When an ac source of e.m.f. $e={E}_{0}\mathrm{sin}\left(100\text{\hspace{0.17em}}t\right)$ is connected across a circuit, the phase difference between the e.m.f. e and the current i in the circuit is observed to be $$\frac{\pi}{4}$$ as shown in the diagram. If the circuit consists only of RC or LC in series, then what is the relationship between the two elements?

1.

2.

3.

4.

Subtopic:  Different Types of AC Circuits |
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In the diagram, two sinusoidal voltages of the same frequency are shown. What is the frequency and the phase relationship between the voltages?

 Frequency in Hz Phase lead of N over M in radians 1. 0.4 –π/4 2. 2.5 –π/2 3. 2.5 +π/2 4. 2.5 –π/4
Subtopic:  AC vs DC |
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Which of the following plots may represent the reactance of a series of LC combinations?

1. a

2. b

3. c

4. d

Subtopic:  Different Types of AC Circuits |
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In an ac circuit I= 100 sin 200 $\mathrm{\pi }$t. The time required for the current to reach its peak value will be:

1. $$\frac{1}{100}~sec$$
2. $$\frac{1}{200}~sec$$
3. $$\frac{1}{300}~sec$$
4. $$\frac{1}{400}~sec$$

Subtopic:  RMS & Average Values |
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The potential differences across the resistance, capacitance and inductance are 80 V, 40 V and 100 V respectively in an L-C-R circuit. What is the power factor of this circuit?

1. 0.4

2. 0.5

3. 0.8

4. 1.0

Subtopic:  Power factor |
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A coil of self-inductance L is connected in series with a bulb B and an AC source. The brightness of the bulb decreases when:

 1 frequency of the AC source is decreased 2 the number of turns in the coil is reduced 3 a capacitance of reactance Xc=XL is included in the same circuit 4 an iron rod is inserted in the coil
Subtopic:  Different Types of AC Circuits |
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An AC voltage is applied to a resistance R and an inductor L in series. If R and the inductive reactance are both equal to , then the phase difference between the applied voltage and the current in the circuit will be:

1. $\mathrm{\pi }/4$
2. $\mathrm{\pi }/2$
3. zero
4. $\mathrm{\pi }/6$

Subtopic:  Different Types of AC Circuits |
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