For the following Electric Circuit System, R Vin(1) 1. Find the transfer function G(s) = R(S) + Consider the following block diagrams: [R = 4 +3,L=5+2 and C = 9+1] VL (S) Vin (s) where V (s) is the output voltage across the inductor and Vin (s) is the input voltage source 2. Find the step time sponse of the inductor voltage V (t) when the system is at rest (zero initial condition). s+ a + 5 s R 10 s-b S C llllll VL(t) s+c + Y(s) Find the system transfer function Y(s)/R (s). Simplify as much as possible and express the result as a ratio of two polynomials.