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Q. No.The graph representing the variation of current \(i\) in an \(LCR\) series circuit for the frequency \(f\) of the applied AC source is best depicted by:
1.
2.
3.
4.
Subtopic: Â Different Types of AC Circuits |
 60%
Level 2: 60%+
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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: Â Different Types of AC Circuits |
 90%
Level 1: 80%+
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An AC supply is connected across a series \(LCR\) circuit. If the capacitor is removed, then which of the following phasor diagram may be correct for the remaining circuit?
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2. |  |
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4. |  |
Subtopic: Â Different Types of AC Circuits |
Level 3: 35%-60%
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The variation of an alternating current; \(I=I_0 \mathrm{sin}(\omega t)\) with time \((t)\) is shown in the figure below. The average value of the current for the half-cycle will be:
1. \(\dfrac{I_{0}}{\pi}\)
2. \(\dfrac{I_{0}}{2}\)
3. \(\dfrac{2 I_{0}}{\pi}\)
4. \(\dfrac{I_{0}}{2 \pi}\)
1. \(\dfrac{I_{0}}{\pi}\)
2. \(\dfrac{I_{0}}{2}\)
3. \(\dfrac{2 I_{0}}{\pi}\)
4. \(\dfrac{I_{0}}{2 \pi}\)
Subtopic: Â RMS & Average Values |
 67%
Level 2: 60%+
Hints
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
In the light of the above statements choose the correct answer from the options given below:
| Assertion (A): | A glowing bulb becomes dim when an iron bar is put in the inductor in series LR ac circuit. |
| Reason (R): | Resistance of circuit increases. |
In the light of the above statements choose the correct answer from the options given below:
| 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: Â Different Types of AC Circuits |
Level 3: 35%-60%
Hints
Given below are two statements:
| Assertion (A): | When an AC circuit contains only a resistor, its power is at a minimum. |
| Reason (R): | The power of a circuit is independent of the phase angle. |
| 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: Â Power factor |
 74%
Level 2: 60%+
Hints
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
In the light of the above statements choose the correct answer from the options given below:
| Assertion (A): | A transformer cannot work on a steady DC supply. |
| Reason (R): | Steady DC changes neither in magnitude nor in direction. |
In the light of the above statements choose the correct answer from the options given below:
| 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: Â Transformer |
 78%
Level 2: 60%+
Hints
In a purely resistive AC circuit, which of the following sketches represents the variation of the current amplitude \(I_0\) with the frequency \({\omega}?\)
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Â Different Types of AC Circuits |
 66%
Level 2: 60%+
Hints
A series R-C circuit is connected to an alternating voltage source. Consider two situations
Current passing through the resistor is \(I\) and voltage drop on capacitor is \(V\). Then:
| (A) | When the capacitor is air filled. |
| (B) | When the capacitor is mica filled. |
| 1. | \(V_A>V_B\) |
| 2. | \(V_A<V_B\) |
| 3. | \(V_A=V_B\) |
| 4. | it can't be predicted. |
Subtopic: Â Different Types of AC Circuits |
 71%
Level 2: 60%+
Hints
Given below are two statements:
| Statement I: | In an AC circuit, the current through a capacitor leads the voltage across it. |
| Statement II: | In AC circuits containing pure capacitance only, the phase difference between the current and the voltage is \(\pi.\) |
| 1. | Both Statement I and Statement II are correct. |
| 2. | Both Statement I and Statement II are incorrect. |
| 3. | Statement I is correct but Statement II is incorrect. |
| 4. | Statement I is incorrect but Statement II is correct. |
Subtopic: Â Different Types of AC Circuits |
 72%
Level 2: 60%+
NEET - 2022
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