Problem 929 Part A Find the steadystate expression for Probl

oooo AT&T; LTE 4:29 PM 86% 1 session.masteringengineering.com Problem 9.29 P Master. ngEngineerin… - Problem 9.29 PSpice Multisim The circuit in 3.125 mH la 50 5AF Q Tap image to zoom is operating in the sinusoidal steady state. Part A Find the steady-state expression for vo(t) if vg 30 sin 8000t V.Suppose that

Solution

Vg=30 sin8000t V

compare with Vmax*sin(w*t)

w=8000;R=50 ohms

XL=inductive reactance due series inductance=w*L=8000*3.12m=26 ohms

XC=capacitive reactance=1/wC=1/(8000*5*10^-6)=2.5*10^-8 ohms

Zeq=R parallel XC= R*-jXC/(R+-jXC)

Vo(t)=Vg*(R parallel XC)/(R parallel XC+XL)=2.88*10^-8 V sin(8000*t-180)

SO Vo=2.88*10^-8 V and w=8000 and phi=-180 degrees