Answer to Question #314838 in Mechanical Engineering for Goku

Question

Twenty Post-Practical Questions - SSl Time Response [20]

1) Derive the equation for the unit step response of a first order low-pass system.

2) Derive the equation for the unit step response of a second order low-pass system.

3) Explain how you would measure the time constant of a first order system.

4) Explain how you would find the steady state gain of a first order system from the differential equation and by measurement.

5) Derive the formulas for time to peak and % overshoot of an underdamped second order system.

6) Explain how you would measure the damping ratio of a second order system.

7) Explain how you would set initial condition in Matlab Simulink.

8) Explain the pin-out of a μ741 op amp.

9) Why can a μ741 be regarded as having infinite gain?

10) Why can a μ741 be regarded as having infinite input resistance.

Answer 1

Step Response of First Order System

Do partial fractions of C(s). On both the sides, the denominator term is the same. So, they will get cancelled by each other. Hence, equate the numerator terms.