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Electric circuits miscellaneous

  1. Initially, the circuit shown in the given figure was relaxed. If switch is closed at t = 0, then
    values of i(0+),
    di
    (0+) and
    d2i
    (0+) will respectively be
    dtdt2


    1. 0, 10 and – 100
    2. 0, 10 and 100
    3. 10, 100 and 0
    4. 100, 0 and 10
Correct Option: A

By KVL equation

10 = i R +
L di
+ Vc ......(i)
dt

At t = 0+, t = 0 and Vc = 0 (short-circuited)

Differentiating equation (i), we have
10 =
di
R +
Ld2i
+
dvc
dtdt2dt

Ld2i
= -
di
R ...... as
dVc
=
i
= 0
dt2dtdtC

Ld2i
= - 10 × 10 = - 100
dt2



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