Assume that the circuit in the figure below has L equal to 0.30 H, R equal to 22

Question

Assume that the circuit in the figure below has L equal to 0.30 H, R equal to 220 Ohm, and C equal to 2.5 mu F. The amplitude of the driving voltage is 150 V(rms). At a frequency of 60 Hz, what is the rms current in the circuit? (Express your answer to two significant figures.) A The next three questions pertain to the situation described below. In an LRC circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively The resistance has a value of 300 Ohm, the inductance has a value of 0.20 H, and the capacitance has a value of 2.0 mu F. What is the impedance of the circuit? (Express your answer to two significant figures.) k Ohm What is the amplitude of the current from the source? (Express your answer to two significant figures.)

Explanation / Answer

rms current is given by:

Irms = Vrms/Z

Z = sqrt [R^2 + (Xl - Xc)^2]

Xl - Xc = 2 pi f l - 2 pi f C

Xl - Xc = 2 x 3.14 x 60 x 0.3 - 1/2 x 3.14 x 60 x 2.5 x 10^-6 = -948.53

X = sqrt [220^2 + (-948.53)^2] = 973.71 Ohm

Irms = 150/973.71 = 0.154 A

Hence, Irms = 0.154 A

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