The input of a variable auto transformer is connected to an, Physics

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The input of a variable auto transformer is connected to an

The input of a variable auto transformer is connected to an alternating is connected to an alternating emf of 120 V rms. the output is connected to a resistor of 100?. the output voltage varies linearly from 0 at theta = full CCW position to 120 V at theta + 270 degrees clockwise. what is the power dissipation in R as a function of angle?

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