For this circuit find the value of the output voltage I0 You

For this circuit find the value of the output voltage I_0. You can express this in either rectangular or polar notation.

Solution

Inductive reactance

X_L=WL =377*0.1 =37.7 ohms

Impedance

Z =100+j37.7

Amplitude |Z| =sqrt[100²+37.7²] =106.87 ohms

angle o=tan^-1(37.7/100) =20.66^o

Z=106.87<20.66^o

Output Current we have find not voltage

I_o=V_o/Z =10<60/106.87<20.66

I_o=0.09357<39.34^o (in polar form)

in rectangular form

I_o=0.07236+j0.05932