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In the circuit shown in the given figure, steadystate was reached when the switch S was open. The switch was closed at t = 0. The initial value of the current through the capacitor 2C is 12 Amp
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- zero
- 1 amp
- 2 amp
- 3 amp
Correct Option: A
Initial voltage on 2C = 12 volts
Then,discharging current, Id(t) = | ![]() | 2C.12 e(-t.3 / 8C) | ![]() | ||||||
dt |
Then , Id(t) t = 0| = | ![]() | -24C × | . e(-t.3 / 8C) | ![]() | ||
8C |
= -9 amp
Now, charging current, Ic(t) = | ![]() | 24C | ![]() | 1 - e(-3t / 8C) | ![]() | ![]() | ||
dt |
= -9 amp
At t = 0, Ic(t) = 9 amp.
Hence, at t = 0
total current I(t) = Ic(t) + Id(t) = 0 amp.