What is the average power consumed in an AC circuit with a power factor of 0.8 a

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Question: What is the average power consumed in an AC circuit with a power factor of 0.8 and a current of 5 A at 230 V? (2022)

Options:

Correct Answer: 920 W

Exam Year: 2022

Solution:

Average power (P) is given by P = V × I × PF. Here, P = 230 V × 5 A × 0.8 = 920 W.

What is the average power consumed in an AC circuit with a power factor of 0.8 and a current of 5 A at 230 V? (2022)

What is the average power consumed in an AC circuit with a power factor of 0.8 and a current of 5 A at 230 V? (2022)

Step 1: Identify the formula for average power in an AC circuit, which is P = V × I × PF.
Step 2: Substitute the given values into the formula: V = 230 V, I = 5 A, and PF = 0.8.
Step 3: Calculate the product of the voltage (230 V) and the current (5 A): 230 V × 5 A = 1150 VA (volt-amperes).
Step 4: Multiply the result from Step 3 by the power factor (0.8): 1150 VA × 0.8 = 920 W.
Step 5: Conclude that the average power consumed in the circuit is 920 W.

Average Power in AC Circuits – Average power is calculated using the formula P = V × I × PF, where V is voltage, I is current, and PF is the power factor.
Power Factor – The power factor (PF) indicates the efficiency of the circuit in converting electrical power into useful work output.
AC Circuit Analysis – Understanding how voltage, current, and power factor interact in an alternating current (AC) circuit.