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What is the formula for calculating the total power in a resistive AC circuit?

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Question: What is the formula for calculating the total power in a resistive AC circuit?

Options:

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

Correct Answer: P = V * I * cos(φ)

Solution: 

In a resistive AC circuit, the total 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 the total power in a resistive AC circuit?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the formula for calculating the total power in a resistive AC circuit?
Correct Answer: P = V * I * cos(φ)
  • Step 1: Understand that in a resistive AC circuit, power is the energy used over time.
  • Step 2: Identify the variables in the formula: V is the voltage, I is the current, and φ (phi) is the phase angle.
  • Step 3: Recognize that in a purely resistive circuit, the phase angle φ is 0 degrees, which means cos(φ) equals 1.
  • Step 4: Write the simplified formula for total power in a resistive AC circuit: P = V * I.
  • Step 5: To find the total power, multiply the voltage (V) by the current (I).
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