a and c part without matlab 0. It is given that input voltage Vin(t) is a unit step input.(a) Describe the dynamics of the system using ordinary differential equation.(b) Derive the transfer...

a and c part without matlab

Extracted text: Consider the following series RC circuit: It Vinlt) Dut Switch 'S' is open at t = 0. The switch is closed at t = 0. Let i(t) be the current flowing through the circuit for t>0. It is given that input voltage Vin(t) is a unit step input. (a) Describe the dynamics of the system using ordinary differential equation. (b) Derive the transfer function for the system while assuming that initial charge stored in the capacitor (c) Plot the output of the system with respect to time while assuming time constant to be 1 ms. Assume suitable values of 'R' and 'C'. After achieving a certain value in five time constants, the output almost gets saturated. Estimate the steady-state error. zero. He voltage across capacitor output. NOTE: Do task (c) analytically and verify your result using computational tool such as MATLAB.