The diode in the circuit shown in Figure P1.53 is biased with a constant current source I....

The diode in the circuit shown in Figure P1.53 is biased with a constant current source I. A sinusoidal signal vs is coupled through RS and C. Assume that C is large so that it acts as a short circuit to the signal, (a) Show that the sinusoidal component of the diode voltage is given by

(b) If RS = 260 Ω, find υo/υs, for I = 1 mA, I = 0.1 mA, and I= 0.01 mA.