Hi guys, i am preparing for my exam of circuits, and need your help to assist me finding the right answer, this task is about using small signal analysis to find the waveform i(t).

I posted the problem as well my attempt to answer the problem,i don't have enough materials to understand good this subject. don't know how to proceed :/

:/

 

What you have done thus far looks fine.

If you only require the steady state solution then you would do a simple frequency domain analysis of the small signal linearized model with the 22mV AC component of the total source. Determine the AC component of current i. Then add the DC offset of 1mA to give the complete solution for i.