In the above circuit j(t)=u(t)A, where u(t) is the step function. Z is a component/circuit system with no independent variables and all initial values zero. The goal is to find the transfer function Z(s).
So I think I know the transfer function here is the laplace transform of the output divided by the laplace transform of the input. The output being u1(t) and input being j(t). u1(t) is also Z*j(t) and the laplace transform Z(s)*1/s. The laplace transform of the input is 1/s. So using the equation for the transfer function (Z(s)*1/s)/1/s you get Z(s), which does not seem right at all. What am I missing here?