(a) Show that the circuit of Fig. P1.12 gives vO 5 vI for uvI u , RLIS, vO 5 RLIS for vI . RLIS, and vO 5 2RLIS for vI , 2RLIS. (b) Assuming RL 5 1 kV and vI is a 1-kHz sine wave with peak values of...

(a) Show that the circuit of Fig. P1.12 gives vO 5 vI for uvI u , RLIS, vO 5 RLIS for vI . RLIS, and vO 5 2RLIS for vI , 2RLIS. (b) Assuming RL 5 1 kV and vI is a 1-kHz sine wave with peak values of 65 V, sketch and label vI and vO versus time for the following cases: IS 5 5 mA, IS 5 2.5 mA, and IS 5 0 mA. (c) Can you suggest possible applications for this circuit? Hint: exploit the fact that circuit’s behavior for vI , 0 is symmetric of that for vI . 0.