Question

In: Physics

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

Driven RC circuit in parallel. A capacitor C is connected in parallel 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 based on 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 peak capacitor and resistor currents?

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

Solutions

Expert Solution

RC in parallel is one of the important result of RLC circuit, yet it is very hard to find in the books, though we have a great deal of ideal about LC in parellel.

Lets see how can we infer about the impedence with respect to current from the circuit-


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