The variation of EMF with time for four types of generators is shown in the figures. Which amongst them can be called AC voltage?
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(a) | (b) |
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(c) | (d) |
Choose the correct option from the given ones:
1. | (a) and (d) |
2. | (a), (b), (c), and (d) |
3. | (a) and (b) |
4. | only (a) |
The peak value of an alternating emf; \(E = E_{0}\sin\omega t\) is \(10~\text V\) and its frequency is \(50~\text{Hz}.\) At a time \(t=\frac{1}{600}~\text{s},\) the instantaneous value of the emf will be:
1. \(1~\text V\)
2. \(5\sqrt 3~\text V\)
3. \(5~\text V\)
4. \(10~\text V\)
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. \(10^{- 6}~\text{s}\)
A sinusoidal supply of frequency \(10\) Hz and rms voltage of \(12\) V is connected to a \(2.1~\mu\text{F}\) capacitor. What is the rms value of current?
1. \(5.5~\text{mA}\)
2. \(20~\text{mA}\)
3. \(26~\text{mA}\)
4. \(1.6~\text{mA}\)
In a series \(RLC\) circuit, potential differences across \(R,L\) and \(C\) are \(30\) V, \(60\) V and \(100\) V respectively, as shown in the figure. The emf of the source (in volts) will be:
1. \(190\)
2. \(70\)
3. \(50\)
4. \(40\)
1. | Zero | 2. | \(\pi\) |
3. | \(\pi \over 2\) | 4. | \(2\pi\) |
1. | \(\dfrac{10^{5}}{3\pi}-10\pi\) | 2. | \(0.1\pi-3\times 10^{-5}\pi\) |
3. | \(\dfrac{10^{5}}{3\pi}-\dfrac{\pi}{10}\) | 4. | None of these |
1. | \(1.0~\text{A}\) | 2. | \(15~\text{A}\) |
3. | \(15.92~\text{A}\) | 4. | \(14.29~\text{A}\) |