# Category: control systems by norman s nise #### 17. Find the transfer function for each network show in figure?

... #### 9. For each of the following transfer functions, write the corresponding differential equation.

... #### 8. A system is described by the following differential equation. find the expression for the transfer function of the system ?

... #### 2. Using the Laplace transform pairs of table 2.1 and the Laplace transform theorems of Table 2.2 derive the Laplace transforms for the following time functions :

... #### 18 Given the electric network shown in figure P1.6 a. write the differential equation for the network b. Solve the differential equation for the current, if there is no initial energy in the network c. make a plot of your solution if R/L=1?

... #### 4. We can build a control system that will automatically adjust a motorcycle radio volume as the noise generated by the motorcycle changes. The noise generated by the motorcycle increases with speed. As the noise increases. the system increases the volume of the radio. Assume that the amount of noise can be represented by a voltage generated by the speedometer cable, and the volume of the radio is controlled by a dc voltage if the dc voltage represents the desired volume disturbed by the motorcycle noise, draw the functional block diagram of the automatic volume control system. showing the input transducer?

... #### 54. In the circuit shown in figure obtain an expression?

... #### 39. The circuit depicted in figure is just barely underdamped (a) compute and obtain an expression of valid for determine how much energy is stored in the capacitor and in the inductor ?

... #### 35. For the circuit of figure determine?

... #### 23. A critically damped parallel RLC circuit is constructed from component values respectively (a) verify that the circuit is indeed critical damped (b) Explain why in practice the circuit once fabricated is likely in be truly critically damped (c) The inductor initially stores of energy while the capacitor is initially discharged Determine the magnitude of the capacitor voltage the maximum absolute capacitor voltage and the settling time.

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