In an AC circuit, the average power consumed is given by which formula? (2022)
Practice Questions
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Q1
In an AC circuit, the average power consumed is given by which formula? (2022)
P = VI
P = VI cos(φ)
P = V²/R
P = I²R
The average power (P) consumed in an AC circuit is given by P = VI cos(φ), where φ is the phase angle between voltage and current.
Questions & Step-by-step Solutions
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Q
Q: In an AC circuit, the average power consumed is given by which formula? (2022)
Solution: The average power (P) consumed in an AC circuit is given by P = VI cos(φ), where φ is the phase angle between voltage and current.
Steps: 5
Step 1: Understand that in an AC circuit, power can vary over time because the voltage and current change direction.
Step 2: Know that average power is the power consumed over a complete cycle of the AC waveform.
Step 3: Recognize that the formula for average power (P) in an AC circuit involves voltage (V), current (I), and the phase angle (φ).
Step 4: Remember the formula: P = VI cos(φ). Here, V is the voltage, I is the current, and cos(φ) accounts for the phase difference between voltage and current.
Step 5: Understand that cos(φ) is a value between 0 and 1, which adjusts the power based on how in sync the voltage and current are.