Question

Find vC(t) for t ≥ 0 (in V), assuming the switch was open for a long time when closed at t = 0.

Assume the capacitor and inductor are initially uncharged.

(1) 3 – 4e–2t + e–8t

(2) 2 – e–2t + 2e–8t

(3) 6 – 6e–4t + 2e–6t

(4) 6 – 6(1+ t)e–8t

(5) 3 + (1+ 4t)e–2t

(6) 3 + [–cos(4t) + 4sin(2t)]e–2t

(7) 3 + [–4cos(4t) + sin(t)]e–t

(8) 3 + [–2cos(4t) + 4sin(2t)]e–4t

(9) None of the above

Answer 1

So, we have to analyze the whole circuit system provided, then we will get to know that its an RL-Circuit along with that we can easily pick the best option from the given, which is mentioned below:

Step-by-step explanation:

Option (1) 3- 4e-2t+e-8t is the best option to chose from the given options.