Q. No.An inductor 20 mH, a capacitor 100 μF, and a resistor 50 are connected in series across a source of emf, V= 10sin314t. The power loss in the circuit is:
1. 0.79 W
2. 0.43 W
3. 2.74 W
4. 1.13 W
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The potential differences across the resistance, capacitance and inductance are 80 V, 40 V and 100 V respectively in an L-C-R circuit. The power factor of this circuit is:
1. 0.4
2. 0.5
3. 0.8
4. 1.0
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2. 0.76 W
3. 0.89 W
4. 0.51 W
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3. current l(t) leads voltage V(t) by 180°
4. current l(t), lags voltage V(t) by 90o
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| 1. | \(\frac{\varepsilon^{2} R}{\left[R^{2}+\left(L \omega-\frac{1}{C \omega}\right)^{2}\right]}\) | 2. | \(\frac{\varepsilon^{2} \sqrt{R^{2}+\left(L \omega-\frac{1}{C \omega}\right)^{2}}}{R}\) |
| 3. | \(\frac{\varepsilon^{2}\left[R^{2}+\left(L \omega-\frac{1}{C \omega}\right)^{2}\right]}{R}\) | 4. | \(\frac{\varepsilon^{2}R}{\sqrt{R^{2}+\left(L \omega-\frac{1}{C \omega}\right)^{2}}}\) |
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2. a capacitance of reactance XC = XL is included in the same circuit
3. an iron rod is inserted in the coil
4. frequency of the AC source is decreased
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The figure shows a circuit that contains three identical resistors with resistance R = 9.0 each, two identical inductors with inductance L = 2.0 mH each, and an ideal battery with emf . The current 'i' through the battery just after the switch closed is:
1. 0.2A
2. 2A
3. 4 A
4. 2mA
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. \(0.33\)
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| 1. | When the capacitor is air-filled. |
| 2. | When the capacitor is mica filled. |
If the current through the resistor is \(I\) and the voltage across the capacitor is \(V\), then:
1. \(V_a < V_b\)
2. \(V_a > V_b\)
3. \(i_a > i_b\)
4. \(V_a = V_b\)
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1. 100 mA
2. 200 mA
3. 20 mA
4. 10 mA
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