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A circuit consisting of a 1Ω resistor and a 2 F capacitor in series is excited from a voltage source with the voltage expressed as 3e – 4, as shown in the given figure. If i(0– ) and Vc (0– ) both are zero, then values of i(0+) and i(∞) will be respectively
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- 3 A and 1.5 A
- 1.5 A and zero
- 3 A and zero
- 1.5 A and 3A
Correct Option: C
I(s) | ![]() | R + | ![]() | = | ||
Cs | s + 1 |
⇒ I(s) = | = | |||
(s + 1)(RCs + 1) | (s + 1)(2s + 1) |
Then , i(t) = Z-1 I(s) = Z-1 | ||
(s + 1){s + (1 / 2)} |
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i (t) = 6e– t – 3e– t / 2
∴ i (∞) = 3A, I(0) = 0