An inductor of \(20~\text{mH}\), a capacitor of \(100~\mu \text{F}\), and a resistor of \(50~\Omega\) are connected in series across a source of emf, \(V=10 \sin (314 t)\). What is the power loss in this circuit?
1. \( 0.79 ~\text{W} \)
2. \( 0.43 ~\text{W} \)
3. \( 2.74 ~\text{W} \)
4. \( 1.13 ~\text{W}\)
The potential differences across the resistance, capacitance and inductance are \(80\) V, \(40\) V and \(100\) V respectively in an \(LCR\) circuit.
What is the power factor of this circuit?
1. \(0.4\)
2. \(0.5\)
3. \(0.8\)
4. \(1.0\)
1. | over a full cycle, the capacitor \(C\) does not consume any energy from the voltage source. |
2. | current \(I(t)\) is in phase with voltage \(V(t)\). |
3. | current \(I(t)\) leads voltage \(V(t)\) by \(180^{\circ}\). |
4. | current \(I(t)\), lags voltage \(V(t)\) by \(90^{\circ}\). |
1. | \(0.67~\text{W}\) | 2. | \(0.76~\text{W}\) |
3. | \(0.89~\text{W}\) | 4. | \(0.51~\text{W}\) |