Chapter 1, Problem 1.53P

The diode in the circuit shown in Figure P1.53 is biased with a constant current source I. A sinusoidal signal ${\upsilon }_s$ is coupled through $R_S$ 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
${\upsilon }_o={\upsilon }_s\left(\frac{V_T}{V_T+I{R}_S}\right)$

(b) If $R_S=260\Omega$ , find ${\upsilon }_o/{\upsilon }_s$ , for $I=1\text{mA}$ , $I=0.1\text{mA}$ , and $I=0.01\text{mA}$ .

Figure P1.53