(a) A DC battery is charged through a resistor R as shown in the figure. Derive an expression for the average charging current in terms of source voltage E, back e.m.f. Eb, and resistance R. The SCR is fired continuously. If E = 220 V RMS, Eb = 100 (DC), and R = 10 ohms, calculate (i) battery charging current and (ii) power supplied to the battery.
(b) A 250 V separately excited DC motor has an armature resistance of 2.5 ohms. When driving a load at 600 rpm with constant torque, the armature takes 20 A. The motor is controlled by a DC chopper operating with a frequency of 400 Hz and an input voltage of 250 V DC. What should be the value of the duty ratio if it is desired to reduce the speed from 600 rpm to 400 rpm? Also, find the motor speed at rated current and a duty ratio of 0.5 if the motor is regenerating.
(c) What is a Unijunction transistor? Draw a basic UJT pulse trigger circuit with a typical waveform and explain its operation.