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Question

In a single-phase RL circuit, the RMS voltage across the supply is 100 V, the RMS current is 5 A, and the current lags the voltage by 60°. Determine the apparent power of the circuit.

The correct answer is

500 VA

To determine the apparent power in a single-phase RL circuit, we use the formula for apparent power S given by:

S = V \times I

where:

  • V is the RMS voltage across the supply.
  • I is the RMS current flowing through the circuit.

From the question, we are given:

  • RMS voltage, V = 100 \, \text{V}
  • RMS current, I = 5 \, \text{A}
  • The phase angle by which the current lags the voltage is 60^\circ. This is relevant for calculating real power but not directly needed for apparent power.

Substituting the given values into the formula for apparent power, we get:

S = 100 \, \text{V} \times 5 \, \text{A}

Thus:

S = 500 \, \text{VA}

Therefore, the apparent power of the circuit is 500 VA.

The correct answer is 500 VA.

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