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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) = V, cosot, where V. = 132 V, w = 124x rad/s, R = 410 0, and C = 4.1 pF (a) What is the impedance of the circuit (in Q)? (b) What is the amplitude of the current through the resistor (in A)? (c) Write an expression for the current through the resistor. (Use the following as necessary: t. Assume i(t) is in amps and t is in seconds. Do not include units in your answer.) i(t) =

A resistor and capacitor are connected in series across an AC generator. The emf of the generator is given by v(t) = V, cosot, where V. = 132 V, w = 124x rad/s, R = 410 0, and C = 4.1 pF (a) What is the impedance of the circuit (in Q)? (b) What is the amplitude of the current through the resistor (in A)? (c) Write an expression for the current through the resistor. (Use the following as necessary: t. Assume i(t) is in amps and t is in seconds. Do not include units in your answer.) i(t) =

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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) = V, cosot, where Vo = 132 V, o = 124x rad/s, R = 410 0, and C = 4.1 µF. (a) What is the impedance of the circuit (in 0)? (b) What is the amplitude of the current through the resistor (in A)? (c) Write an expression for the current through the resistor. (Use the following as necessary: t. Assume i(t) is in amps and t is in seconds. Do not include units in your answer.) i(t) = (d) Write expressions representing the voltages across the resistor and across the capacitor. (Use the following as necessary: t. Assume v(t) is in volts and t is in seconds. Do not include units in your answers.) VR(t) = vct) =
Transcribed Image Text:A resistor and capacitor are connected in series across an AC generator. The emf of the generator is given by v(t) = V, cosot, where Vo = 132 V, o = 124x rad/s, R = 410 0, and C = 4.1 µF. (a) What is the impedance of the circuit (in 0)? (b) What is the amplitude of the current through the resistor (in A)? (c) Write an expression for the current through the resistor. (Use the following as necessary: t. Assume i(t) is in amps and t is in seconds. Do not include units in your answer.) i(t) = (d) Write expressions representing the voltages across the resistor and across the capacitor. (Use the following as necessary: t. Assume v(t) is in volts and t is in seconds. Do not include units in your answers.) VR(t) = vct) =
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