Question

Considering that current I2(t) is the output and V1(t) is the input of the circuit (see attachment).Determine the impulse response ?

Answer 1

i think for the impulse response @ the resistor is (R/L) e^(-tR/L)u(t)
=(8/4) e^(-8t/4)u(t)
=2e^(-2t)*u(t)
i dont know what unit step function to be input here..
but the voltage in at cap. is=Vin(1/(1+RCs))

Answer 2

the transfer function is, G(s)=R/(R/Ls), inverse laplace transform of this is the impulse response g
9(t)
g(t)= L^(-1)G(s)=L^(-1)[8/(8+4s)]=L^(-1)[8/4(2+s)=L^(-1)[2/(2+s)=2e^(-2t)