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Network Elements and the Concept of Circuit

  1. Given V2 = 1 – e– 2t, the value of V1 is given by—


    1. 3 + e– 2t
    2. 1 + 3 e– 2t
    3. 4 + 2 e– 2t
    4. 4
Correct Option: D

Given V2 = 1 – e– 2t


I R =
V2
=
3(1 – e–2t)
2 / 32


I c =
d
V2 = 1
d
(1 – e– 2t)
dtdt

= – (– 2) e– 2t = 2e– 2t
current across 2Ω resistance
(I) = IR + IC =
3
(1 – e– 2t) + 2e– 2t
2


=
3
+
1
e– 2t
22


V1 = I.2 + V2

=
3
+
1
e– 2t . 2 + 1 – e– 2t
22

= 3 + e– 2t + 1 – e– 2t
= 4



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