9.53 The circuit shown in Fig. P9.53 is operating at a fre- quency of 10 rad/s. Assume a is real and lies between -10 and +10, that is, – 10 < a < 10. a) Find the value of a so that the Thévenin imped- ance looking into the terminals a,b is purely resistive. b) What is the value of the Thévenin impedance for the a found in (a)? c) Can a be adjusted so that the Thévenin impedance equals 500 – j500 N? If so, what is the value of a? d) For what values of a will the Thévenin imped- ance be inductive? Figure P9.53 100 µF HE a avA be

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A switching function q(t) is applied a semiconductor switch (MOSFET) which is controlling the power to a pure inductive load of 0.005H from 24V DC source. There is no previously stored energy in the inductor at t=0. Assuming the ideal components: a. Explain the operation of the circuit b. Find the switching period and frequency c. Calculate the mean (average) and RMS values of load voltage (vo) d. Find the load current expression and sketch it for first two switching periods e. Calculate the energy stored in the load inductor at the end of the second period from starting. L=0.05H 24v Vo: load voltage 1o: load current →t(ms) 4 2 3