- 1(current)
Q. No.A \(100~\Omega\) resistor is connected to a \(220~\text{V}\), \(50~\text{Hz}\) \(\text{AC}\) supply. The net power consumed over a full cycle is:
| 1. | \(484~\text{W}\) | 2. | \(848~\text{W}\) |
| 3. | \(400~\text{W}\) | 4. | \(786~\text{W}\) |
Subtopic: Â Power factor |
 86%
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An alternating voltage \(V=V_0\sin(\omega t)\) is applied across a circuit. As a result, a current \(I=I_0\sin\Big(\omega t+\dfrac{\pi}{2}\Big)\) flows in it. The power consumed per cycle is:
| 1. | \(\dfrac{V_0I_0}{2}\) | 2. | \(\dfrac{V_0I_0}{\sqrt2}\) |
| 3. | \(\sqrt2V_0I_0\) | 4. | zero |
Subtopic: Â Power factor |
 77%
From NCERT
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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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In which of the following circuit, maximum power dissipation is observed?
| 1. | pure resistive circuit | 2. | pure capacitive circuit |
| 3. | pure inductive circuit | 4. | none of these |
Subtopic: Â Power factor |
 87%
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A current \(I=I_0\sin\Big(\omega t-\dfrac{\pi}{2}\Big),\) flows in an AC circuit across which an AC voltage \(E_0+E_0\sin\omega t\) has been applied. The average power \(P\) consumed in the circuit will be:
1. \(\dfrac{E_0I_0}{\sqrt2}\)
2. \(\dfrac{E_0I_0}{2}\)
3. \(\sqrt2E_0I_0\)
4. zero
1. \(\dfrac{E_0I_0}{\sqrt2}\)
2. \(\dfrac{E_0I_0}{2}\)
3. \(\sqrt2E_0I_0\)
4. zero
Subtopic: Â Power factor |
 72%
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Two coils \(A\) and \(B\) are connected in series across a \(240~\text{V}, ~50~\text{Hz}\) supply. The resistance of \(A\) is \(5~\Omega\) and the inductance of \(B\) is \(0.02~\text{H}\). The power consumed is \(3~\text{kW}\) and the power factor is \(0.75\). The impedance of the circuit is:
1. \(0.144~\Omega\)
2. \(1.44~\Omega\)
3. \(14.4~\Omega\)
4. \(144~\Omega\)
1. \(0.144~\Omega\)
2. \(1.44~\Omega\)
3. \(14.4~\Omega\)
4. \(144~\Omega\)
Subtopic: Â Power factor |
 78%
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In an AC circuit, \(V\) and \(I\) are given by \(V=100\sin(100t)\) volts, \(I=100\sin\Big(100t+\dfrac{\pi}{3}\Big)\text{mA}\). The average power dissipated per cycle in the circuit is:
| 1. | \(10^{4}~\text{watt}\) | 2. | \(10~\text{watt}\) |
| 3. | \(2.5~\text{watt}\) | 4. | \(5~\text{watt}\) |
Subtopic: Â Power factor |
 76%
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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: Â Power factor |
 72%
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NEET - 2023
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A current \(I=I_{0}\sin\left(\omega t-\dfrac{\pi}{2}\right) \) flows in an AC circuit. If the potential of \(E=E_{0}\sin\omega t\) has been applied, then the power consumption \(P\) in the circuit will be:
1. \(P=\dfrac{{E}_{0}{I}_{0}}{\sqrt{2}}\)
2. \({P}=\dfrac{EI}{\sqrt{2}}\)
3. \({P}=\dfrac{{E}_{0}{I}_{0}}{2}\)
4. \(P=\text{zero}\)
1. \(P=\dfrac{{E}_{0}{I}_{0}}{\sqrt{2}}\)
2. \({P}=\dfrac{EI}{\sqrt{2}}\)
3. \({P}=\dfrac{{E}_{0}{I}_{0}}{2}\)
4. \(P=\text{zero}\)
Subtopic: Â Power factor |
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An AC voltage source is connected to a series \(LCR\) circuit. When \(L\) is removed from the circuit, the phase difference between current and voltage is \(\dfrac{\pi}{3}\). If \(C\) is instead removed from the circuit, the phase difference is again \(\dfrac{\pi}{3}\) between current and voltage. The power factor of the circuit is:
1. \(0.5\)
2. \(1.0\)
3. \(-1.0\)
4. zero
Subtopic: Â Power factor |
 66%
From NCERT
NEET - 2020
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