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The voltage v in an electrical outlet is given as a

Question: The voltage, V , in an electrical outlet is given as a function of time, t, by the function V = V0 cos (120πt), where V is in volts and t is in seconds, and V0 is a positive constant representing the maximum voltage.

(a) What is the average value of the voltage over 1 second?

(b) Engineers do not use the average voltage. They use the root mean square voltage defined by V¯ = √(average of (V²)). Find in terms of V0. (Take the average over 1 second.)

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