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Network Elements and the Concept of Circuit

  1. The voltage of the source i.e. Vs, if i (t) = – 20 e– 2t
    1. 10 e– 2t
    2. 10 e2t
    3. 20 e– 2t
    4. 20 e2t
Correct Option: A

Given i (t) = – 20 e– 2t
V (t) = – 20 e– 2t × 1 = – 20 e– 2t

iC = C
dV (t)
dt

= 2.
d
(– 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
d
i + V (t)
dt

= 1 × 60 e– 2t +
1

d
60 e– 2t – 20 e– t
4dt

= 60 e– 2t – 15 × 2 e– 2t – 20 e– 2t
= 60 e– 2t – 30e– 2t – 20 e– 2t
= 10e– 2t



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