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.

2.

3.

4.

Subtopic:  RMS & Average Values |
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The peak value of an alternating e.m.f.  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. $5\sqrt{3}$ 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.

2.

3.

4.

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

1. ${\mathrm{V}}_{0}/\sqrt{3}$

2. ${\mathrm{V}}_{0}$

3. ${\mathrm{V}}_{0}/\sqrt{2}$

4. ${\mathrm{V}}_{0}/2$

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

Subtopic:  RMS & Average Values |
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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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