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What is the formula for calculating the average power in an AC circuit? (2023)

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Question: What is the formula for calculating the average power in an AC circuit? (2023)

Options:

  1. P = VI
  2. P = VI cos(φ)
  3. P = V^2/R
  4. P = I^2R

Correct Answer: P = VI cos(φ)

Exam Year: 2023

Solution:

The average power (P) in an AC circuit is given by P = VI cos(φ), where φ is the phase difference between voltage and current.

What is the formula for calculating the average power in an AC circuit? (2023)

Practice Questions

Q1
What is the formula for calculating the average power in an AC circuit? (2023)
  1. P = VI
  2. P = VI cos(φ)
  3. P = V^2/R
  4. P = I^2R

Questions & Step-by-Step Solutions

What is the formula for calculating the average power in an AC circuit? (2023)
  • Step 1: Identify the voltage (V) in the AC circuit. This is the maximum voltage supplied.
  • Step 2: Identify the current (I) in the AC circuit. This is the maximum current flowing through the circuit.
  • Step 3: Determine the phase difference (φ) between the voltage and current. This is the angle that shows how much the current lags or leads the voltage.
  • Step 4: Calculate the cosine of the phase difference (cos(φ)). This value helps to find the effective power used in the circuit.
  • Step 5: Use the formula P = VI cos(φ) to calculate the average power (P). Multiply the voltage (V) by the current (I) and then by cos(φ).
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