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Network Elements and the Concept of Circuit

  1. For the network shown below, the switch S is closed at t = 0 with the capacitor uncharged. The value of di(t) / dt at t = 0+ will be—


    1. 100 A/sec
    2. – 100 A/sec
    3. 1000 A/sec
    4. – 1000 A/sec
Correct Option: B

When capacitor opened
at t = 0+

IC(0) =
V
=
.1000
R100

= 0.1 Amp
at t = o+
⇒ 100 = 1000 IC + 1 / C ∫ICdt
After differentiating, we get
0 = 1000
dIC
+
1
lc
dtC

Capacitor in short circuited
-1000
dIC
=
Ic
=
.1
dtC1 × 10 -6

dI(+)
=
-
.1 × 10 +6
dt103

= – 100 Ampere.
Hence alternative (B) is the correct choice.



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