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%
From NCERT
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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%
From NCERT
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The peak value of an alternating e.m.f. $\mathrm{E}={\mathrm{E}}_{0}$  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%
From NCERT
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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%
From NCERT
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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. $1.5×{10}^{-2}$ $\mathrm{s}$

2. $2.5×{10}^{-3}$ $\mathrm{s}$

3. ${10}^{-1}$ $\mathrm{s}$

4. ${10}^{-6}$ $\mathrm{s}$

Subtopic:  RMS & Average Values |
76%
From NCERT
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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 |
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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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