The step response transform of a linear circuit is \(G(s)=200 / s(s+100)\).

(a) Find the circuit's transfer function, \(T(s)\).

(b) Design a circuit to produce that transfer function. ( Hint : See Design Exercise 11-26 .)

(c) Find the circuit's impulse response \(h(t)\) and step response \(g(t)\).

(d) Use MATLAB's step function to plot your circuit's step response.