3.30 The RC electrical system shown in Fig. P3.30 is known as a lead filter and is used as a "compensator" in feedback control systems in order to improve the

damping characteristics. Voltage source en(t) is the input variable. a. Derive the mathematical model of the lead filter in terms of the appropriate dynamic variables associated with the energy-storage elements. b. Derive the mathematical model of the lead filter where output voltage eo is the sole dynamic-response variable and en (1) is the system input.