(Solved): An isolated transformer-coupled with 1:1 ratio, with Vac of 230Vrms, half-wave controlled rectifie ...

An isolated transformer-coupled with 1:1 ratio, with Vac of 230Vrms, half-wave controlled rectifier with free wheeling diode is shown in Figure 3. Assuming the inductance \( \mathrm{L} \) is large enough that the current through the inductor is linear. Figure 3 a. Describe clearly how does the SCR switch S1 behave during the forward bias and reverse bias cycle. (5 marks) b. Explain i. What is the function of the diode D. (2.5 marks) ii. During forward bias condition, what is the voltage rating that is important for the SCR, S1. (2.5 marks) c. Sketch the voltage waveform at VD and the inductor current IL for \( 1.5 \) cycle of the input ac voltage Vac with a firing angle of \( \alpha \) of \( 37^{\circ} \) on the positive cycle of the input voltage source. (5 marks) d. Calculate the average voltage \( V_{D} \) and what would be the maximum average voltage VD and under what condition would this occur. (5 marks) e. Calculate the output rms voltage \& output power at the load of \( 55 \Omega \) for the condition of maximum average voltage. (5 marks)