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

[V(t)]² P(t) = R

(a) Show that

P(t) sin°(2¬ft).

(b) The graph of P is shown in the figure. Express P as a sinusoidal function.

(c) Deduce that

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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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