1. In Laplace transform, explain initial value and final value theorem.

2.(a) Find in the following block diagram as shown in Figure using block reduction method: <img src='./qimages/8804-2a.jpg'> Determine the transfer function of the given circuit as shown in Figure 2. <img src='./qimages/8804-2b.jpg'>
3. Determine the time response of a second order system with unit step input. Also find out its steady state value.

4. Define stability and relative stability. Explain the effects of location of poles on stability.

5.(a) Explain the role of controllers in process industry.
With the help of a block diagram, clearly explain Derivative controller. Also explain the effect of steady state error in derivative control action.

6. With the help of neat diagrams explain the following:
Single-stack. motor variable reluctance stepper motor Multi-stack motor variable reluctance stepper motor

7. Define Robotics. Draw and explain the functional diagram of robotics.