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  1. For the following circuit, a source of V1(t) = e– 2t is applied. What will be the V2 (t)—


    1. 2e–2t– e–t
    2. e– t
    3. e– t – e–2t
    4. e–2t
      2
Correct Option: A

The given circuit

From figure

V2(s) = V1(s)
1
= V1(s)
s
1
+ 1
s

= V1(s)
s
(1 + s)

where,
= V1(s)
1
s + 2

[Given V1(t) = e–2t]
Now,
V2 (s) =
1
×
s
=
A
+
B
(s + 2)(s + 1)s + 1s + 2

= -
1
+
2
s + 1s + 2

or
V2(t) = 2e–2t – e–t
Hence alternative (A) is the correct choice.



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