For this circuit find the value of the output voltage Vo You

For this circuit find the value of the output voltage V_o. You can express this in either rectangular or polar notation.

we know that this fig shows the parallel combination of C with series combined R & L

so the formulas for this type of problem will

by applying kvl in given loop

let a current I flowing in this ckt so

V-IR-IX_c-IX_L=0

for X_c and X_L we need W so

W=2*3.14*10³

W=646.84

X_C=1/WC

X_C=1/(646.84*10^-6)

=0.00015

X_L=WL

X_L=646.84*.1

X_L=64.84

so I =V/(R+X_c+X_l)

I=10 angle(45)/(10³+64.84+0.00015)

I=0.0595 angle (45)

so V_o = I X_c

V_o =0.0595 angle (45)*0.00015