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What is the average power consumed in an AC circuit with a power factor of 0.5 a

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Question: What is the average power consumed in an AC circuit with a power factor of 0.5 and an RMS voltage of 100 V with a current of 5 A? (2020)

Options:

  1. 250 W
  2. 500 W
  3. 125 W
  4. 1000 W

Correct Answer: 250 W

Exam Year: 2020

Solution: 

Average power (P) is given by P = V_rms × I_rms × power factor. Thus, P = 100 V × 5 A × 0.5 = 250 W.

What is the average power consumed in an AC circuit with a power factor of 0.5 a

Practice Questions

Q1
What is the average power consumed in an AC circuit with a power factor of 0.5 and an RMS voltage of 100 V with a current of 5 A? (2020)
  1. 250 W
  2. 500 W
  3. 125 W
  4. 1000 W

Questions & Step-by-Step Solutions

What is the average power consumed in an AC circuit with a power factor of 0.5 and an RMS voltage of 100 V with a current of 5 A? (2020)
  • Step 1: Identify the formula for average power in an AC circuit, which is P = V_rms × I_rms × power factor.
  • Step 2: Write down the given values: V_rms = 100 V, I_rms = 5 A, and power factor = 0.5.
  • Step 3: Substitute the values into the formula: P = 100 V × 5 A × 0.5.
  • Step 4: Calculate the multiplication: First, multiply 100 V by 5 A to get 500 VA (volt-amperes).
  • Step 5: Now, multiply 500 VA by the power factor (0.5): 500 VA × 0.5 = 250 W.
  • Step 6: Conclude that the average power consumed in the circuit is 250 W.
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