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Q. No.In a series \(RLC\) circuit, \(R=80~\Omega\), \(X_L=100~\Omega\), \(X_C=40~\Omega\). If the source voltage is \(2500 \cos (628 t)\) V, the peak current is equal to:
1. \(5\) A
2. \(25 \) A
3. \(10\) A
4. \(12\) A
Subtopic: Β RMS & Average Values |
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Consider the following two πΏπΆ circuit.
If \(\omega_1\) and \(\omega_2\) are resonance frequencies of the two circuits. Then \(\frac{\omega_1}{\omega_2}\) equal to:
1. \(4\)
2. \(3\)
3. \(2\)
4. \(1\)
If \(\omega_1\) and \(\omega_2\) are resonance frequencies of the two circuits. Then \(\frac{\omega_1}{\omega_2}\) equal to:
1. \(4\)
2. \(3\)
3. \(2\)
4. \(1\)
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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: Β Power factor |
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Given below are two statements:
| Statement I: | In a purely inductive circuit, the average power consumed is very high. |
| Statement II: | In a purely inductive circuit only, resonance can be achieved. |
| 1. | Both Statement I and Statement II are correct. |
| 2. | Statement I is incorrect and Statement II is correct. |
| 3. | Statement I is correct and Statement II is incorrect. |
| 4. | Both Statement I and Statement II are incorrect. |
Subtopic: Β Different Types of AC Circuits |
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In an LC oscillating circuit with \(L= 75~~ mH\) and \(C = 30 \mu F\). The maximum charge of capacitor is \(2.7 \times 10^{-4} C\). Maximum current through the circuit will be:
1. \(0.18~~ \text {Amp}\)
2. \(0.24~~ \text {Amp}\)
3. \(0.72~~ \text {Amp}\)
4. \(0.92~~ \text {Amp}\)
1. \(0.18~~ \text {Amp}\)
2. \(0.24~~ \text {Amp}\)
3. \(0.72~~ \text {Amp}\)
4. \(0.92~~ \text {Amp}\)
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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: Β Different Types of AC Circuits |
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Consider the following statements:
| Statement 1: | An LCR circuit connected to an AC source has maximum average power at resonance. |
| Statement 2: | A resistor only circuit with zero phase difference has maximum average power. |
| 1. | (1) and (2) both are correct |
| 2. | (1) is correct but (2) is incorrect |
| 3. | (1) is incorrect but (2) is correct |
| 4. | Both (1) and (2) are incorrect |
Subtopic: Β 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: Β Different Types of AC Circuits |
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| Statement I: | In LCR circuit, by increasing frequency current increases first then decreases |
| Statement II: | Power factor of LCR circuit is one. |
Choose the correct option
| 1. | Statement I is correct and statement II is incorrect |
| 2. | Statement I is incorrect and statement I is correct |
| 3. | Both Statement I and statement II are correct |
| 4. | Both Statement I and statement II are incorrect |
Subtopic: Β 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: Β Different Types of AC Circuits |
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