In an AC circuit, what is the relationship between the average power and the RMS

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Question: In an AC circuit, what is the relationship between the average power and the RMS voltage? (2023)

Options:

Correct Answer: P = V_rms²/R

Exam Year: 2023

Solution:

The average power (P) in an AC circuit is given by P = V_rms²/R, where R is the resistance.

In an AC circuit, what is the relationship between the average power and the RMS voltage? (2023)

In an AC circuit, what is the relationship between the average power and the RMS voltage? (2023)

Step 1: Understand that in an AC circuit, we often use RMS (Root Mean Square) voltage to represent the effective voltage.
Step 2: Know that average power (P) is the power consumed by the circuit over time.
Step 3: The formula for average power in an AC circuit is P = V_rms²/R.
Step 4: In this formula, V_rms is the RMS voltage and R is the resistance of the circuit.
Step 5: This means that the average power is directly related to the square of the RMS voltage divided by the resistance.

Average Power in AC Circuits – The average power in an AC circuit is calculated using the RMS voltage and resistance, highlighting the relationship between these parameters.
RMS Voltage – RMS (Root Mean Square) voltage is a measure of the effective voltage in an AC circuit, crucial for calculating power.
Ohm's Law – The relationship between voltage, current, and resistance, which underpins the formula for average power.