Question

Problem 3. The switch in the following circuit has been in position for a long time before changing at t=0. a. Find the capacitor voltage for t<0 and t>0. Sketch it. (Hint: at t=1 s the voltage is 10.8 V) b. Find the current through the capacitor for t<0 and t > 0. Sketch it. 392 22 M St=0 + - 12 v 0 400 3F - 1

Answer 1

This question is related to the analysis of a first order circuit involving capacitor . Its transient behaviour is being checked here when switch is placed at different node at t=0.

for t o the the Capacitor Capacitor would have achieved 20 its steady state (6) m m o 34 i= cavolt) dt for tlo Capacitor Velo)=12v would have open sprauted for too, the switch is current=0 changed forts but (0) = vclot)=12v | fortso at f= 2h = 24%(%) UV ( tuo) =-4 et16 RM L 3 d + 7 16 1 .V.CO Vc (@) = uv ve(t)= v(0) - [uce) - Velol] - RM=22 ve (t)=4-[4-42] e 245 = 4480 fort=1 ve (t) = 10.8v v

Vetrar -YA