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In a circuit, a resistance (R), a pure inductance (L), and a capacitance (C) are connected in parallel across a sinusoidal voltage source of V volt. The circuit current will lead the applied voltage if

  • A.\(I_{C} \lt I_{L}\)
  • B.\(I_{C} = I_{L}\)
  • C.\(I_{C} \gt I_{L}\)
  • D.\(I_{L} = 1.5 \times I_{C}\)

Answer: C

The circuit current leads the voltage if \(I_{C} \gt I_{L}\).

In a parallel RLC circuit each branch has the full supply voltage. The resistor current is in phase with it, the capacitor current leads it by 90° and the inductor current lags it by 90°. The capacitor and inductor currents are in direct opposition, so the net reactive current is \(I_{C} - I_{L}\).

If \(I_{C}\) is larger, the net reactive current leads and so does the total current. If \(I_{C} \lt I_{L}\), including the case \(I_{L} = 1.5 I_{C}\), the current lags; if they are equal the circuit is at resonance and the current is in phase with the voltage.

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