What is the formula for the average power consumed in an AC circuit with a phase

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Question: What is the formula for the average power consumed in an AC circuit with a phase angle φ? (2020)

Options:

Correct Answer: P = VI cos(φ)

Exam Year: 2020

Solution:

The average power P in an AC circuit is given by P = VI cos(φ), where φ is the phase angle.

What is the formula for the average power consumed in an AC circuit with a phase angle φ? (2020)

What is the formula for the average power consumed in an AC circuit with a phase angle φ? (2020)

Step 1: Understand that in an AC circuit, power can vary over time due to the alternating current.
Step 2: Recognize that the average power consumed is not just the product of voltage (V) and current (I) because of the phase angle.
Step 3: Identify the phase angle (φ), which shows how much the current and voltage are out of sync.
Step 4: Learn that the formula for average power (P) in an AC circuit is P = VI cos(φ).
Step 5: In this formula, V is the voltage, I is the current, and cos(φ) adjusts the power based on the phase angle.

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