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Average power dissipated

Student 3057 9 years ago updated by Physics Tutorial Center Staff 9 years ago 1

A resistor of R= 50 ohms is connected to an AC power supply of 200 V, what is the average power dissipated by the resistor? I thought this was straightforward and I just had to use P=V^2/R, but that isn't the right answer apparently.

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Notice that the power supply is AC, alternating current. The equation you provided, P = V^2/R gives the instantaneous power, or the power dissipated at any given moment in time. However, the voltage V is oscillating, or changing with time! To find the average power in an AC circuit you need to use the RMS voltage.

Answer
Closed

Notice that the power supply is AC, alternating current. The equation you provided, P = V^2/R gives the instantaneous power, or the power dissipated at any given moment in time. However, the voltage V is oscillating, or changing with time! To find the average power in an AC circuit you need to use the RMS voltage.