X_L=2πʄL=2π(12kHz)(100mH)=7.54KΩ
show work and phasor diagram) I need help making the diagram I did the
problem.
X_L=2πʄL=2π(12kHz)(100mH)=7.54KΩ
X_C=1/2πʄC=1/2π(12kHz)(10nF) =1.33KΩ
X_S=X_L-X_C=7.54kΩ-1.33kΩ=6.21kΩ
Z_T=√(X_S^2+R^2 )=√(〖6.21kΩ〗^2+〖910Ω〗^2 )=6.28kΩ
I=VS/ZT=8V/6.28kΩ=1.27mA
V_L=I*X_L=(1.27mA)(7.54kΩ)=9.6V∠90°
V_C=I*X_C=(1.27mA)(1.33kΩ)=1.7V∠-90°
V_R=I*R=(1.27mA)(910Ω)=1.2V∠0°
V_LC=V_L-V_C=9.6V-1.7V=7.9V
θ=tan^(-1)〖(VLC/VR〗)=tan^(-1)〖(7.9V/1.2mV〗)=89.9°