The diode in the circuit shown in Figure P1.53 is biased with a constant current source \(I\). A sinusoidal signal \(v_{s}\) 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

\(v_{o}=v_{s}\left(\frac{V_{T}}{V_{T}+I R_{S}}\right)\)

(b) If \(R_{S}=260 \Omega\), find \(v_{o} / v_{s}\), for \(I=1 \mathrm{~mA}, I=0.1 \mathrm{~mA}\), and \(I=0.01 \mathrm{~mA}\).

Figure P1.53:-

Transcribed Image Text:

Rs ww Figure P1.53 C V+