Alternating Current (ac) Generators The voltage V produced
Chapter 7, Problem 91(choose chapter or problem)
Alternating Current (ac) Generators The voltage V produced by an ac generator is sinusoidal. As a function of time, the voltage V is where is the frequency, the number of complete oscillations (cycles) per second. [In the United States and Canada, 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. P1t2 = V0 2 R sin2 12pft2 P1t2 = 3V1t242 R f f V1t2 = V0 sin12pft2(c) Deduce that sin2 12pft2 = 1 2 31 - cos14pft24
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