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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: Different Types of AC Circuits |
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The net impedance of circuit (as shown in the figure) will be:
1. \(25~\Omega\)
2. \(10\sqrt{2}~\Omega\)
3. \(15~\Omega\)
4. \(5\sqrt{5}~\Omega\)
1. \(25~\Omega\)
2. \(10\sqrt{2}~\Omega\)
3. \(15~\Omega\)
4. \(5\sqrt{5}~\Omega\)
Subtopic: Different Types of AC Circuits |
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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: Different Types of AC Circuits |
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If \(Z_1\) and \(Z_2\) are the impedances of the given circuits (a) and (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. | \(Z_1>Z_2\) |
Subtopic: 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: 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: 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: 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.
1. capacitive reactance remains constant
2. capacitive reactance decreases.
3. displacement current increases.
4. displacement current decreases.
Subtopic: Different Types of AC Circuits |
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A standard filament lamp consumes \(100\) W when connected to \(200\) V AC mains supply. The peak current through the bulb will be:
1. \(0.707\) A
2. \(1\) A
3. \(1.414\) A
4. \(2\) A
1. \(0.707\) A
2. \(1\) A
3. \(1.414\) A
4. \(2\) A
Subtopic: 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: Different Types of AC Circuits |
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