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Network Elements and the Concept of Circuit

  1. If the L.T. of the voltage across a capacitor of value 1/2 F is V1 (s) =
    s + 1
    then value of the current through the capacitor at t = 0+ is—
    s3 + s2 + s + 1
    1. 3 A
    2. 2 A
    3. 0 A
    4. 1 A
Correct Option: C

Given Vc (s) =
s + 1
s3 + s2 + s + 1

Vc (0+) =
0 + 1
= 1
0 + 0 + 0 + 1

I =
(d VC 10t)
= 1
dt

= lim
IC(0+)
t→0

= lim
sIC(s)
s→0

= lim
s2c[VC(O+)] = O.A
s→0

Hence alternative (C) is the correct choice.



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