A generator produces a voltage that is given by \(V = 240\sin(120t)\), where \(t\) is in seconds. The frequency and rms 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 \(i = i_1\cos\omega t- i_2 \sin \omega t.\) 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 |
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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 \(\frac{\pi}{2}\).
2. The voltage leads the current by \(\frac{\pi}{2}\).
3. The voltage and the current are in phase.
4. The voltage leads the current by \(\pi\).
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 rms value will be:
1. \(1 . 5 \times 10^{- 2}~\text{s}\)

2. \(2 . 5 \times 10^{- 3}~\text{s}\)

3. \(10^{- 1}~\text{s}\)

4. \(10^{- 6}~\text{s}\)

Subtopic:  RMS & Average Values |
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The rms value of the potential difference \(V\) shown in the figure is:

       

1. \(\dfrac{V_{0}}{\sqrt{3}}\) 2. \(V_{0}\)
3. \(\dfrac{V_{0}}{\sqrt{2}}\) 4. \(\dfrac{V_{0}}{2}\)
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. \(I_0 \over 2\)
3. \(2I_0 \over \pi\) 4. \(I_0\)
Subtopic:  RMS & Average Values |
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