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The voltage of the source i.e. Vs, if i (t) = – 20 e– 2t
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- 10 e– 2t
- 10 e2t
- 20 e– 2t
- 20 e2t
Correct Option: A
Given i (t) = – 20 e– 2t
V (t) = – 20 e– 2t × 1 = – 20 e– 2t
iC = C | dt |
= 2. | (– 20 e– 2t) | | dt |
or iC = 80 e– 2t
I = i (t) + i C = – 20 e– 2t + 80 e– 2t
= 60 e– 2t
Vs = VR + VL + V (t)
= 1 × 60 e– 2t + L | i + V (t) | | dt |
= 1 × 60 e– 2t + | 60 e– 2t – 20 e– t | 4 | dt |
= 60 e– 2t – 15 × 2 e– 2t – 20 e– 2t
= 60 e– 2t – 30e– 2t – 20 e– 2t
= 10e– 2t