In the circuit shown, the AC voltage source supplies an rms voltage of 158 V at
ID: 1439103 • Letter: I
Question
In the circuit shown, the AC voltage source supplies an rms voltage of 158 V at frequency f. The circuit has R = 107 W, XL = 182 W, and XC = 109 W.
(a) Find the impedence of the circuit.
Z = W
(b) Find the rms current flowing in the circuit.
Irms = A
(c) Find the phase angle in degrees between the current in the circuit and the voltage supplied by the AC source.
f = degrees
(d) At the instant the voltage across the generator is at its maximum value, what is the magnitude of the current in the circuit?.
I = A
Explanation / Answer
Given V = 158 V, R = 107 W, XL = 182 W, Xc = 109 W
a) Impedance = Z = [R^2 + (XL - Xc)^2]^0.5
Z = 129.5 W
b) I rms = V/Z = 158/129.5 = 1.2 A
c) = tan^-1[(XL - Xc)/R] = 34.3 degrees
d) Voltage will be maximum if XL = Xc
I max = V/R = 158/107 = 1.47 A