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What is the formula for calculating power in an AC circuit?

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Question: What is the formula for calculating power in an AC circuit?

Options:

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

Correct Answer: P = V * I * cos(φ)

Solution: 

In an AC circuit, the real power (P) can be calculated using the formula P = V * I * cos(φ), where φ is the phase angle between the voltage and current.

What is the formula for calculating power in an AC circuit?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the formula for calculating power in an AC circuit?
Correct Answer: P = V * I * cos(φ)
  • Step 1: Identify the voltage (V) in the AC circuit. This is the electrical potential difference measured in volts.
  • Step 2: Identify the current (I) flowing through the circuit. This is the flow of electric charge measured in amperes.
  • Step 3: Determine the phase angle (φ) between the voltage and current. This angle shows how much the current is out of sync with the voltage, measured in degrees or radians.
  • Step 4: Calculate the cosine of the phase angle (cos(φ)). This value helps to find the real power in the circuit.
  • Step 5: Use the formula P = V * I * cos(φ) to calculate the real power (P) in watts.
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