Consider the Zener diode circuit shown in Figure P1.57. The Zener breakdown voltage is \(V_{Z}=5.6 \mathrm{~V}\) at \(I_{Z}=0.1 \mathrm{~mA}\), and the incremental Zener resistance is \(r_{z}=10 \Omega\).

(a) Determine \(V_{O}\) with no load \(\left(R_{L}=\infty\right)\).

(b) Find the change in the output voltage if \(V_{P S}\) changes by \(\pm 1 \mathrm{~V}\).

(c) Find \(V_{O}\) if \(V_{P S}=10 \mathrm{~V}\) and \(R_{L}=2 \mathrm{k} \Omega\).

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R = 0.5 ww + Vps = 10 V Iz + Vz Figure P1.57 ww -oVo RL