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Network Elements and the Concept of Circuit

  1. A unit step u(t – 5) is applied to the RL network:
    The current i is given by—


    1. 1 – e– t
    2. [1 – e– (t – 5)] u(t – 5)
    3. (1 – e– t) u(t – 5)
    4. 1 – e– (t – 5)
Correct Option: C

I(∞) = I(∞) [1 – e–R/Lt]

I(∞) =
V
=
u(t - 5)
R1

= u(t – 5) [1 – e–1/1t]
Alternative Method In frequency domain
e–5s
=I(s) + I(s) s
s

I(s) =
e –5s
(s + 1)s
.............. (i)
I(s) = e–5s
1
-
20
s1 + s

or i(t) = [1 – e–t] u [t – 5]
Hence alternative (C) is the correct choice.



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