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Q. No.Given below are two statements:
Assertion (A):
If the frequency of the applied AC is doubled, then the power factor of a series \(R\text-L\) circuit decreases.
Reason (R):
Power factor of series \(R\text-L\) circuit is given by \(\cos \theta=\frac{2 R}{\sqrt{R^{2}+\omega^{2} {L}^{2}}}.\)
1.
Both (A) and (R) are True and (R) is the correct explanation of (A).
2.
Both (A) and (R) are True but (R) is not the correct explanation of (A).
3.
(A) is True but (R) is False.
4.
Both (A) and (R) are False.
Subtopic: Different Types of AC Circuits |
76%
Level 2: 60%+
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Given below are two statements:
| Assertion (A): | Large-scale transmission and distribution of electric energy over long distances are done by stepping the voltage up by a transformer. |
| Reason (R): | This cuts down the loss of energy due to eddy currents. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Transformer |
Level 3: 35%-60%
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Given below are two statements:
| Assertion (A): | If the terminals of the primary of a transformer are connected across a battery then no emf is induced across the secondary in a steady state. |
| Reason (R): | The battery provides a steady current, so there is no change in flux linked with the secondary. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Transformer |
90%
Level 1: 80%+
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Alternating voltage \(V=V_0\sin\omega t\) is applied to a circuit containing some elements in series.
Match the values of current in Column I with the possible elements connected in the circuit in Column II.
Match the values of current in Column I with the possible elements connected in the circuit in Column II.
| Column-I | Column-II | ||
| (A) | \(I=I_0\sin\omega t\) | (P) | only inductor circuit |
| (B) | \(I=-I_0\cos\omega t\) | (Q) | may be \(C\text{-}R\) circuit |
| (C) | \(I=I_0 \sin \left(\omega t+\frac{\pi}{4}\right)\) | (R) | may be \(L\text{-}R\) circuit |
| (D) | \(I=I_0 \sin \left(\omega t-\frac{\pi}{4}\right)\) | (S) | only resistance circuit |
| 1. | A→S, B→Q, C→P, D→R |
| 2. | A→P, B→S, C→R, D→Q |
| 3. | A→S, B→P, C→Q, D→R |
| 4. | A→S, B→P, C→R, D→Q |
Subtopic: Different Types of AC Circuits |
73%
Level 2: 60%+
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In a series \(LCR\) circuit connected across (\(220\) V, \(50\) Hz) ac supply. If the inductive reactance of the circuit is \(79.6\) \(\Omega.\) If the power delivered in the circuit is maximum, then the capacitance of the circuit is:
1. \(40\) \(\mu\)F
2. \(30\) \(\mu\)F
3. \(20\) \(\mu\)F
4. \(50\) \(\mu\)F
1. \(40\) \(\mu\)F
2. \(30\) \(\mu\)F
3. \(20\) \(\mu\)F
4. \(50\) \(\mu\)F
Subtopic: Different Types of AC Circuits |
72%
Level 2: 60%+
JEE
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Choose the correct statements regarding a series LCR circuit.
| 1. | The voltage across the capacitor lags behind the current. |
| 2. | The voltage across the inductor leads the current. |
| 3. | The voltage across the resistance \(R\) is in phase with the current. |
| 4. | All of the above. |
Subtopic: Different Types of AC Circuits |
91%
Level 1: 80%+
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A series \(LCR\) circuit containing \(5.0~\text{H}\) inductor, \(80~\mu \text{F}\) capacitor and \(40~\Omega\) resistor is connected to \(230~\text{V}\) variable frequency AC source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:
| 1. | \(46~\text{rad/s}~\text{and}~54~\text{rad/s}\) |
| 2. | \(42~\text{rad/s}~\text{and}~58~\text{rad/s}\) |
| 3. | \(25~\text{rad/s}~\text{and}~75~\text{rad/s}\) |
| 4. | \(50~\text{rad/s}~\text{and}~25~\text{rad/s}\) |
Subtopic: Different Types of AC Circuits |
51%
Level 3: 35%-60%
NEET - 2021
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A lamp is connected in series with a capacitor. AC and DC sources are connected to the circuit one by one, then mark the correct statement/s.
| 1. | When the DC source is connected to the capacitor, the lamp will not glow in a steady-state condition. |
| 2. | When the AC source is connected to the capacitor and the capacitance of the capacitor is reduced, the lamp will glow less brightly. |
| 3. | When the DC source is connected to the capacitor and the capacitance of the capacitor is reduced, the lamp will glow less brightly. |
| 4. | Both (1) and (2). |
Subtopic: Different Types of AC Circuits |
79%
Level 2: 60%+
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Turn ratio of a step-up transformer is \(1: 25\). If current in load coil is \(2~\text{A}\), then the current in primary coil will be:
| 1. | \(25~\text{A}\) | 2. | \(50~\text{A}\) |
| 3. | \(0.25~\text{A}\) | 4. | \(0.5~\text{A}\) |
Subtopic: Transformer |
90%
Level 1: 80%+
AIPMT - 1998
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A coil has a resistance of \(30~ \text{ohm}\) and inductive reactance of \(20 ~\text{ohm}\) at a \(50~\text{Hz}\) frequency. If an \(AC\) source of \(200~\text{volts,}\) \(100~\text{Hz}\) is connected across the coil, the current in the coil will be:
| 1. | \(2.0~\text{A}\) | 2. | \(4.0~\text{A}\) |
| 3. | \(8.0~\text{A}\) | 4. | \(20/\sqrt{13}~\text{A}\) |
Subtopic: Different Types of AC Circuits |
63%
Level 2: 60%+
AIPMT - 2011
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