In the circuit shown, the AC voltage source supplies an rms voltage of 120 V and

ID: 1444970 • Letter: I

Question

In the circuit shown, the AC voltage source supplies an rms voltage of 120 V and the circuit has R1 = 105 ?, C= 0.2 ?F and L = 518 mH.

1) At what frequency is this circuit in resonance? f= ___ Hz

2) At this frequency, what is the inductive reactance? XL= ___ ?

3) At this frequency, what is the capacitive reactance? XC= ____ ?

4) At this frequency, what is the total impedance of the circuit? Z= ____ ?

5) At this frequency, what is the phase angle between the voltage and the current? ?= ____ o

6) At this frequency, what is the power factor? PF= ____ W

part 1 )

at resonance

XL = Xc

f = 1/2pisqrt(LC)

f = 494.47 Hz

part 2 )

XL = 2pif*L

XL = 1609.35 ohm

part 3 )

Xc = 1/2pi*f*C

Xc = 1609.35 ohm

part 4 )

Z = sqrt(R^2+ (XL - Xc)^2)

XL - Xc = 0

Z = R = 105 ohm

part 5 )

phi = tan^-1(Xl-Xc)/R = 0 degree

part 6 )

cosphi = R/Z = 1