For the circuit shown below Given Vt Vin cosomega t theta

For the circuit shown below: Given: V(t) = V_in cos(omega t + theta) Find the currents pass through R and C. Values:

given w=10,000

xl=jwl=j10000*11.6*10^-3=j116 ohms

xc=1/(jwc)=1/(j10000*0.8*10^-6)=-j125 ohms

equivalent impedance=[(j116*-j125)/(j116-j125)]+500=(500+j1611.11) ohms

total current=15<125/(500+j1611.11)=8.89*10^-3<52.24 amps

current through resistor=8.89*10^-3<52.24 amps

current through capacitor=[(8.89*10^-3<52.24*j116)/(j116-j125)]=0.114<-127.76 amps