Multiple choice

In the circuit shown, the switch S is open for a long time and is closed at t = 0. The current i(t) for t$\ge$ 0+ is

  1. i(t)=0.5-0.125e-1000tA

  2. i(t)=1.5-0.125e-1000tA

  3. i(t)=0.5-0.5e-1000tA

  4. i(t)=0.375e-1000tA
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

         Here we see in given figure           i(0) = .75/2 = .375 A           i(infinite) = 1.5/3 = .5 A           i(t) = A + B e^(-1000 t)           Put t= 0 and then put t= infinite          Then we get A= .5      and B= -.125           

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