In an ac circuit, the current is given by \(i=5\sin(100t-\frac{\pi}{2})\) and the ac potential is \(V =200\sin(100 t)\) volt. The power consumption is:
1. \(20\) W
2. \(40\) W
3. \(1000\) W
4. \(0\)

Subtopic:  Power factor |
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A coil of inductive reactance of \(31~\Omega\) has a resistance of \(8~\Omega\). It is placed in series with a condenser of capacitive reactance \(25~\Omega\). The combination is connected to an AC source of \(110\) V. The power factor of the circuit is:
1. \(0.56\)
2. \(0.64\)
3. \(0.80\)
4. \(0.33\)

Subtopic:  Power factor |
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The power factor of the given circuit is:
             

1. \(1 \over 2\) 2. \(1 \over \sqrt2\)
3. \(\sqrt3 \over 2\) 4. \(0\)
Subtopic:  Power factor |
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An inductor of inductance \(L\) and resistor of resistance \(R\) are joined in series and connected by a source of frequency \(\omega\). The power dissipated in the circuit is:

1. \(\dfrac{\left( R^{2} +\omega^{2} L^{2} \right)}{V}\) 2. \(\dfrac{V^{2} R}{\left(R^{2} + \omega^{2} L^{2} \right)}\)
3. \(\dfrac{V}{\left(R^{2} + \omega^{2} L^{2}\right)}\) 4. \(\dfrac{\sqrt{R^{2} + \omega^{2} L^{2}}}{V^{2}}\)
Subtopic:  Power factor |
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What is the average power dissipated in the AC circuit if current \(i = 100\sin(100t)\) A and \(V = 100\sin\left(100t+\frac{\pi}{3}\right)\) volts?
1. \(2500\) W 2. \(250\) W
3. \(5000\) W 4. \(4000\) W
Subtopic:  Power factor |
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A resistance \(R\) draws power \(P\) when connected to an AC source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes \(Z\) the power drawn will be:
\(1 .\) \(P \left(\frac{R}{Z}\right)^{2}\)
\(2 .\) \(P \sqrt{\frac{R}{Z}}\)
\(3 .\) \(P \left(\frac{R}{Z}\right)\)
\(4 .\) \(P\)
Subtopic:  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:  Power factor |
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