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Electric circuits miscellaneous

  1. 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+ ?

    1. Unit step
    2. Unit impulse
    3. Unit ramp
    4. Unit step plus unit ramp
Correct Option: B

For unit step source,

I(t) =
V
1 - e(-R / L)t
R

At t = 0, I (t) = 0
For ramp, inputI (t) I(t) =
V
tUt - 1 - e(-R / L)t
R

At t = 0, I(t) = 0
For impulse input, I(t) =
V
e(-R / L)t
R

Then at t = 0, I(t) =
V
Maximum
R



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