Question

Find the power factor for an RC circuit connected to a 75.0 Hz generator with an...

Find the power factor for an RC circuit connected to a 75.0 Hz generator with an rms voltage of 195 V. The values of R and C in this circuit are 100 Ω and 76.4 μF , respectively.

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Answer #1

The power factor, or the cosine of the angle of the power triangle is defined as

where is the resistance and is the impedance.

The impedance is equal to

where

Putting in our values, we get

Substituting these values into our formula for the power factor, we get

The power factor is

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