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Driven RC circuit in parallel. A capacitor C is connected in parallel to a resistor R...

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Physics

Driven RC circuit in parallel. A capacitor C is connected inparallel to a resistor R and an AC source providing a voltage v(t)= V sin(ωt).

(a) Make a phasor diagram at time t showing all relevant basedon Kirchhoff’s rules.

(b) Find the impedance of this circuit and make a plot of Z vs.ω.

(c) What are the small and large frequency behaviors of the peakcapacitor and resistor currents?

(d) What is the phase difference between the total current andthe input voltage? (e) (5pts.) Write an expression for i(t), thetotal current thought the circuit, if V = 120 V, C = 47 µF, R = 230Ω, and f = 440 Hz

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