4. Using the Fourier transform to find the transient response. \text { Given } i_{g}(t)=10 \operatorname{sgn}(t) A, \text { find } i_{o}(t) \cdot(20 \mathrm{pts}) a) Fourier transform the current source

i,(t).(5pts) b) Find the transfer function H(w). (5pts) c) Find the frequency domain result I,(w). (5pts) d) Inverse Fourier transform to find the time domain solution