The switch in Figure P10-26 has been in position A for a long time and is moved to position \(\mathrm{B}\) at \(t=0\).

(a) Transform the circuit into the \(s\) domain and solve for \(I_{\mathrm{L}}\) ( \(s\) ) in symbolic form.

(b) Repeat part (a) using MATLAB.

(c) Find \(i_{\mathrm{L}}(t)\) for \(R_{1}=R_{2}=1 \mathrm{k} \Omega, R_{3}=2 \mathrm{k} \Omega, L=250\) \(\mathrm{mH}, C=0.3 \mu \mathrm{F}\), and \(V_{\mathrm{A}}=5 \mathrm{~V}\).