The voltage V produced by an ac generator is sinusoidal. As a function of time, the voltage
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The voltage V produced by an ac generator is sinusoidal. As a function of time, the voltage V is
V(t) = V0 sin(2π ft)
where f is the frequency, the number of complete oscillations (cycles) per second. [In the United States and Canada, f is 60 hertz (Hz).] The power P delivered to a resistance R at any time t is defined as
(a) Show that
(b) The graph of P is shown in the figure. Express P as a sinusoidal function.
(c) Deduce that
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