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Q. No.An AC source given by \(V=V_m\sin(\omega t)\) is connected to a pure inductor \(L\) in a circuit and \(I_m\) is the peak value of the AC current. The instantaneous power supplied to the inductor is:
1.
\(\dfrac{V_mI_m}{2}\mathrm{sin}(2\omega t)\)
2.
\(-\dfrac{V_mI_m}{2}\mathrm{sin}(2\omega t)\)
3.
\({V_mI_m}\mathrm{sin}^{2}(\omega t)\)
4.
\(-{V_mI_m}\mathrm{sin}^{2}(\omega t)\)
Subtopic: Â Power factor |
From NCERT
NEET - 2022
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A transformer operating at a primary voltage of \(8\) kV and secondary voltage of \(160\) V serves a load of \(80\) kW. Assuming the transformer to be ideal with purely resistive load and working on unity power factor, the loads in the primary and secondary circuit would be:
| 1. | \(800~\Omega\) and \(1.06~\Omega\) | 2. | \(10~\Omega\) and \(500~\Omega\) |
| 3. | \(800~\Omega\) and \(0.32~\Omega\) | 4. | \(1.06~\Omega\) and \(500~\Omega\) |
Subtopic: Â Transformer |
 81%
From NCERT
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A capacitor is in series with a resistor of \(30~\Omega\) and is connected to a \(220~\text V\) AC line. The reactance of this capacitor is \(30~\Omega.\) What is the phase angle between the current and the supply voltage?
1. \(-30^\circ\)
2. \(-45^\circ\)
3. \(-60^\circ\)
4. \(90^\circ\)
1. \(-30^\circ\)
2. \(-45^\circ\)
3. \(-60^\circ\)
4. \(90^\circ\)
Subtopic: Â Different Types of AC Circuits |
 77%
From NCERT
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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%
From NCERT
NEET - 2022
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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%
From NCERT
NEET - 2022
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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 |
 74%
From NCERT
NEET - 2022
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A non-ideal coil, a capacitor, and an AC-source of RMS voltage \(24~\text V\) are connected in series. By varying the frequency of the source, a maximum RMS current of \(6~\text A\) is observed. If the coil is connected to a DC-battery of EMF \(12~\text V\) and internal resistance \(2~\Omega,\) the current in it in steady-state will be:
| 1. | \(1~\text A\) | 2. | \(1.5~\text{A}\) |
| 3. | \(2~\text A\) | 4. | \(2.4~\text A\) |
Subtopic: Â AC vs DC |
 70%
From NCERT
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The peak voltage of the AC source is equal to:
| 1. | \(1 / \sqrt{2}\) times the rms value of the AC source. |
| 2. | the value of voltage supplied to the circuit. |
| 3. | the rms value of the AC source. |
| 4. | \(\sqrt{2}\) times the rms value of the AC source. |
Subtopic: Â RMS & Average Values |
 79%
From NCERT
NEET - 2022
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What reading would you expect of a square wave current, switching rapidly between \(+0.5~\text A\) and \(-0.5~\text A,\) when passed through an AC ammeter?
1. zero
2. \(0.5~\text A\)
3. \(0.25~\text A\)
4. \(1.0~\text A\)
1. zero
2. \(0.5~\text A\)
3. \(0.25~\text A\)
4. \(1.0~\text A\)
Subtopic: Â RMS & Average Values |
 52%
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An alternating current in a circuit is given by; \(I=20\sin\left({{100}{\pi}{t}+{0.05}\pi}\right)~\text{A}\). The rms value and the frequency of the current respectively are:
1. \(10\) A and \(100\) Hz
2. \(10\) A and \(50\) Hz
3. \(10\sqrt{2}\) A and \(50\) Hz
4. \(10\sqrt{2}\) A and \(100\) Hz
1. \(10\) A and \(100\) Hz
2. \(10\) A and \(50\) Hz
3. \(10\sqrt{2}\) A and \(50\) Hz
4. \(10\sqrt{2}\) A and \(100\) Hz
Subtopic: Â RMS & Average Values |
 92%
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