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. I02
3. 2I0π
4. I0

Subtopic:  RMS & Average Values |
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When an ac source of e.m.f. e=E0sin(100t) 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. R=kΩ,C=10 μF

2. R=kΩ,C=μF

3. R=kΩ,L=10 H

4. R=kΩ,L=H

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 πt. 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 Ω, then the phase difference between the applied voltage and the current in the circuit will be:

1. π/4                                                
2. π/2
3. zero                                                
4. π/6

Subtopic:  Different Types of AC Circuits |
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