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In the circuit shown in the given figure, switch K is closed at t = 0. The circuit was initially relaxed. Which one of the following sources of v(t) will produce maximum current at t = 0+ ?
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- Unit step
- Unit impulse
- Unit ramp
- Unit step plus unit ramp
Correct Option: B
For unit step source,
I(t) = | ![]() | 1 - e(-R / L)t | ![]() | ||
R |
At t = 0, I (t) = 0
For ramp, inputI (t) I(t) = | ![]() | tUt - | ![]() | 1 - e(-R / L)t | ![]() | ![]() | ||
R |
At t = 0, I(t) = 0
For impulse input, I(t) = | e(-R / L)t | |
R |
Then at t = 0, I(t) = | Maximum | |
R |