Question

v(t) is the output voltage. please explain the steps in words as well. thanks.

2) In ha figine below the switch is closed at to. Find e resulthng output voltage vCt. write devon stepsyou sed 1o Solve he answen た。lon 1F OSL 1H ! 几

Answer 1

Given circuit diagram is at t = 0 switch is opens so V_c (0^-) = 0 V = V_c (0^+) for t > 0 switch is closed and network is n studystate for t rightarrow infinity . In study state inductor acts as short circuit and capacitor acts as open circuit V_c (infinity) = 10 V therefore V_c (t) = V_c (infinity) + (V_1 (0) - V_c (infinity)) e^- t/k for t > 0 V_c (t) = 10 - 10 e^- t /7c therefore C_c (t) = 10 - e^- t/15 v for t greaterthanorequalto 0 e = Rc = Req times c req = (10//10) + 10 = 5 + 10 = 15 therefore c = 15 times 1 = 15 ke