Solve the problem.The power dissipated in an electric circuit is given by the expression
where R is the resistance of the circuit and I is the current through the circuit. For a sinusoidal alternating current, the current might be represented by the relation
where A is the amplitude, f is the frequency, and t is time. Write an expression for P involving the sine function, and use a fundamental identity to write P in terms of the cosine function.
A. P = RA sin2(2?ft) ; P = RA - RA cos2(2?ft)
B. P = RA2 sin2(2?ft) ; P = RA2 - RA2 cos2(2?ft)
C. P = RA2 sin2(2?ft) ; P = - RA2 cos2(2?ft)
D. P = RA sin2(2?ft) ; P = RA - cos2(2?ft)
Answer: B
Mathematics
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