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 |
 84%
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An alternating current is given as i = icos \(\omega t\) - isin \(\omega t\). The value of rms current is given by:
1. \( \frac{1}{\sqrt{2}}\left(i_1+i_2\right) \)
2. \( \frac{1}{\sqrt{2}}\left(i_i+i_2\right)^2 \)
3. \( \frac{1}{\sqrt{2}}\left(i_1^2+i_2^2\right)^{1 / 2} \)
4. \( \frac{1}{2}\left(i_1^2+i_2^2\right)^{1 / 2}\)

Subtopic:  RMS & Average Values |
 81%
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The peak value of an alternating e.m.f. E=E0 sin ωt is 10 volts 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. \(5 \sqrt{3}\) volts
3. 5 volts 4. 10 volts
Subtopic:  RMS & Average Values |
 78%
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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 |
 79%
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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 |
 77%
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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 |
 76%
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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 |
 74%
From NCERT
AIPMT - 2011
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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 |
 71%
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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. \(I_0 \over 2\)
3. \(2I_0 \over \pi\) 4. \(I_0\)
Subtopic:  RMS & Average Values |
 66%
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In an ac circuit \(I=100~sin~200~ \pi t.\) 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 |
 65%
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