A resistor and capacitor are connected in series across an ac generator. The emf of the generator is given by v(t) = V0 cos ωt, where V0 = 120 V, ω = 120π rad/s, R = 400 Ω , and C = 4.0μF . (a) What is the impedance of the circuit? (b) What is the amplitude of the current through the resistor? (c) Write an expression for the current through the resistor. (d) Write expressionsrepresenting the voltages across the resistor and across the capacitor.

University Physics Volume 2
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Chapter15: Alternating-current Circuits
Section: Chapter Questions
Problem 62CP: A 1.5k resistor and 30-mH inductor are connected in series, as below, across a120-V(rms)ac power...
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A resistor and capacitor are connected in series across an ac generator. The emf of the generator is given by v(t) = V0 cos ωt, where V0 = 120 V, ω = 120π rad/s, R = 400 Ω , and C = 4.0μF . (a) What is the impedance of the circuit? (b) What is the amplitude of the current through the resistor? (c) Write an expression for the current through the resistor. (d) Write expressions
representing the voltages across the resistor and across the capacitor.

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