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Q. No.For a series \(LCR\) circuit across an AC source, current and voltage are in the same phase. Given the resistance is \(20~\Omega\) and voltage of the source is \(220\) 𝑉. What is the current in the circuit?
1. \(11\) A
2. \(22\) A
3. \(33\) A
4. \(44 \) A
Subtopic: Different Types of AC Circuits |
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Across an inductor of \(5\) mH, an AC source with potential given as \(268 \sin (200 \pi t) \) volts is used. The value of inductive reactance provided by the inductor is equal to:
1. \(2\pi ~\Omega\)
2. \(\frac{\pi}{2}~\Omega\)
3. \(20\pi~\Omega\)
4. \(\pi~\Omega\)
1. \(2\pi ~\Omega\)
2. \(\frac{\pi}{2}~\Omega\)
3. \(20\pi~\Omega\)
4. \(\pi~\Omega\)
Subtopic: Different Types of AC Circuits |
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In a series \(LCR\) circuit, the resistance \(R,\) inductance \(L,\) and capacitance \(C\) are \(10~\Omega,\) \(0.1~\text{H},\) and \(2~\text{mF},\) respectively. If the angular frequency of the AC source is \(100~\text{rad/s},\) the power factor of the circuit is:
| 1. | \(\dfrac{1}{\sqrt{5}}\) | 2. | \(\dfrac{2}{\sqrt{5}}\) |
| 3. | \(\dfrac{3}{\sqrt{5}}\) | 4. | \(\dfrac{2}{2\sqrt{5}}\) |
Subtopic: Power factor |
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Evaluate the maximum current flowing through the capacitor in the given AC circuit.
1. \(0.65\pi~\text A\)
2. \(0.35\pi~\text A\)
3. \(0.2\pi~\text A\)
4. \(0.8\pi~\text A\)
1. \(0.65\pi~\text A\)
2. \(0.35\pi~\text A\)
3. \(0.2\pi~\text A\)
4. \(0.8\pi~\text A\)
Subtopic: Different Types of AC Circuits |
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The variation of impedance \((Z)\) with angular frequency \((\omega)\) for two electrical elements is shown in the graph given. If \(X_L , X_C\) and \(R\) are inductive reactance, capacitive reactance, and resistance respectively then:
1. \(A\) is resistor, \(B\) is inductor
2. \(A\) is inductor, \(B\) is capacitor
3. \(A\) is inductor, \(B\) is resistor
4. \(A\) is capacitor, \(B\) is inductor
1. \(A\) is resistor, \(B\) is inductor
2. \(A\) is inductor, \(B\) is capacitor
3. \(A\) is inductor, \(B\) is resistor
4. \(A\) is capacitor, \(B\) is inductor
Subtopic: Different Types of AC Circuits |
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A resistance of \(5~\Omega\) is connected in series with a capacitance of \(1~\text{mF}\). The combination is connected to an AC source of angular frequency \(200~\text{rad/s}\). Then:
| 1. | voltage leads the current by \(60^\circ\) |
| 2. | current leads the voltage by \(60^\circ\) |
| 3. | current leads the voltage by \(45^\circ\) |
| 4. | voltage leads the current by \(45^\circ\) |
Subtopic: Different Types of AC Circuits |
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A transformer has \(50\) turns in the primary coil and \(100\) turns in the secondary coil. If the primary is connected to a \(200~\mathrm{V}\) AC supply, what will be the voltage in the secondary coil?
| 1. | \(100~\mathrm{V}\) | 2. | \(400~\mathrm{V}\) |
| 3. | \(90~\mathrm{V}\) | 4. | \(360~\mathrm{V}\) |
Subtopic: Transformer |
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A transmission line feeds input power at \(2200~\text{V}\) to a step-down transformer having a primary winding of \(1000\) turns. To get the output power at \(220~\text{V},\) the number of turns in the secondary winding will be:
1. \(50\)
2. \(100\)
3. \(1000\)
4. \(10000\)
1. \(50\)
2. \(100\)
3. \(1000\)
4. \(10000\)
Subtopic: Transformer |
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The core of the transformer is laminated so that:
1. the copper loss is minimized.
2. the eddy current loss is minimized.
3. the rusting of the core is stopped.
4. the change in flux is increased.
1. the copper loss is minimized.
2. the eddy current loss is minimized.
3. the rusting of the core is stopped.
4. the change in flux is increased.
Subtopic: Transformer |
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The correct representation of the variation of capacitative reactance \(X_C\) with frequency \(f\) is:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Different Types of AC Circuits |
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