A generator produces a voltage that is given by V = 240 sin 120 t, where t is in seconds. The frequency and r.m.s. voltage are:

1. 60 Hz and 240 V

2. 19 Hz and 120 V

3. 19 Hz and 170 V

4. 754 Hz and 70 V

Subtopic:  RMS & Average Values |
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An alternating current is given as i = icos ωt - i2 sin ωt. The value of rms current is given by:

1.  i1 + i22 

2.  i1 + i22

3.  i12 + i222 

4.  i12 + i222

Subtopic:  RMS & Average Values |
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The peak value of an alternating e.m.f. E=E0 sin ωt is 10 volt and its frequency is 50 Hz. At a time \(t=\frac{1}{600}~s,\) the instantaneous value of the e.m.f. will be:

1. 1 volt

2. 53 volt

3. 5 volt

4. 10 volt

Subtopic:  RMS & Average Values |
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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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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 |
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The time required for a 50 Hz sinusoidal alternating current to change its value from zero to the r.m.s. value will be:

1. 1.5×10-2 s

2. 2.5×10-3 s

3. 10-1 s

4. 10-6 s

Subtopic:  RMS & Average Values |
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The r.m.s. value of the potential difference V shown in the figure is:

1. V0/3

2. V0

3. V0/2

4. V0/2

Subtopic:  RMS & Average Values |
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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 |
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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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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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