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Q. No.In a series \({LCR}\) circuit, the inductance \({L}\) is \(10~\text{mH}\), capacitance \({C}\) is \(1~\mu\text{F}\) and resistance \({R}\) is \(100~\Omega\). The frequency at which resonance occurs is:
1. \(1.59~\text{kHz}\)
2. \(15.9~\text{rad/s}\)
3. \(15.9~\text{kHz}\)
4. \(1.59~\text{rad/s}\)
Subtopic: Â Different Types of AC Circuits |
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Level 2: 60%+
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The net impedance of the circuit (as shown in the figure) will be:
| 1. | \(25~\Omega\) | 2. | \(10\sqrt{2}~\Omega\) |
| 3. | \(15~\Omega\) | 4. | \(5\sqrt{5}~\Omega\) |
Subtopic: Â Different Types of AC Circuits |
 66%
Level 2: 60%+
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An AC source is connected to the given circuit. The value of \(\phi\) will be:
| 1. | \(60^\circ\) | 2. | \(90^\circ\) |
| 3. | \(30^\circ\) | 4. | \(45^\circ\) |
Subtopic: Â Different Types of AC Circuits |
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If \(Z_1\) and \(Z_2\) are the impedances of the given circuits \(\mathrm{(a)}\) and \(\mathrm{(b)}\) as shown in the figures, then choose the correct option:
1. \(Z_1<Z_2\)
2. \(Z_1+Z_2=20~\Omega\)
3. \(Z_1=Z_2\)
4. \(Z_1>Z_2\)
1. \(Z_1<Z_2\)
2. \(Z_1+Z_2=20~\Omega\)
3. \(Z_1=Z_2\)
4. \(Z_1>Z_2\)
Subtopic: Â Different Types of AC Circuits |
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The maximum power is dissipated for an AC in a/an:
| 1. | resistive circuit | 2. | \({LC}\) circuit |
| 3. | inductive circuit | 4. | capacitive circuit |
Subtopic: Â Power factor |
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For very high frequencies, the effective impedance of the circuit (shown in the figure) will be:
| 1. | \(4~ \Omega\) | 2. | \(6~ \Omega\) |
| 3. | \(1~ \Omega\) | 4. | \(3~ \Omega\) |
Subtopic: Â Different Types of AC Circuits |
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A \(12~\text{V},60~\text{W}\) lamp is connected to the secondary of a step-down transformer, whose primary is connected to AC mains of \(220~\text{V}\). Assuming the transformer to be ideal, what is the current in the primary winding?
1. \(0.37~\text{A}\)
2. \(0.27~\text{A}\)
3. \(2.7~\text{A}\)
4. \(3.7~\text{A}\)
1. \(0.37~\text{A}\)
2. \(0.27~\text{A}\)
3. \(2.7~\text{A}\)
4. \(3.7~\text{A}\)
Subtopic: Â Transformer |
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An AC source is connected to a capacitor \(C\). Due to decrease in its operating frequency:
| 1. | capacitive reactance remains constant |
| 2. | capacitive reactance decreases. |
| 3. | displacement current increases. |
| 4. | displacement current decreases. |
Subtopic: Â Different Types of AC Circuits |
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A standard filament lamp consumes \(100~\text W\) when connected to \(200~\text V\) AC mains supply. The peak current through the bulb will be:
1. \(0.707~\text A\)
2. \(1~\text A\)
3. \(1.414~\text A\)
4. \(2~\text A\)
1. \(0.707~\text A\)
2. \(1~\text A\)
3. \(1.414~\text A\)
4. \(2~\text A\)
Subtopic: Â RMS & Average Values |
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An inductor of inductance \(2~\text{mH}\) is connected to a \(220~\text{V}\), \(50~\text{Hz}\) ac source. Let the inductive reactance in the circuit is \(X_1\). If a \(220~\text{V}\) DC source replaces the AC source in the circuit, then the inductive reactance in the circuit is \(X_2\). \(X_1\) and \(X_2\), respectively, are:
1. \(6.28~\Omega\), zero
2. \(6.28~\Omega\), infinity
3. \(0.628~\Omega\), zero
4. \(0.628~\Omega\), infinity
1. \(6.28~\Omega\), zero
2. \(6.28~\Omega\), infinity
3. \(0.628~\Omega\), zero
4. \(0.628~\Omega\), infinity
Subtopic: Â Different Types of AC Circuits |
 72%
Level 2: 60%+
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