n the circuit shown, the AC voltage source supplies an rms voltage of 156 V at f

Question

n the circuit shown, the AC voltage source supplies an rms voltage of 156 V at frequency f. The circuit has R = 99 W, XL = 190 W, and XC = 93 W.

(a) Find the impedence of the circuit.

Z = W       *
138.6   OK

(b) Find the rms current flowing in the circuit.

Irms = A     
1.057   NO

HELP:  The rms voltage is equal to the rms current times the impedance.

(c) Find the phase angle in degrees between the current in the circuit and the voltage supplied by the AC source.

f = degrees      
1.591   NO

(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      
1.057   NO

Explanation / Answer

(a)impedence=sqrt(R^2+(XL-XC)^2)=138.6 W

(b) rms current=V/impedance=156/138.6=1.125 A

(c)phase angle=tan^(-1)((XL-XC)/R)=44.41 degree

(d)current=rms current*sqrt(2)=1.59 A

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