Consider the simple series-pass regulator circuit in Figure P15.88. Assume an ideal Zener diode with (V_{Z}=V_{mathrm{REF}}=4.7 mathrm{~V}).

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Consider the simple series-pass regulator circuit in Figure P15.88. Assume an ideal Zener diode with \(V_{Z}=V_{\mathrm{REF}}=4.7 \mathrm{~V}\). Let \(\beta=100\) and \(V_{B E}(\) on \()=0.7 \mathrm{~V}\) for all transistors.

(a) Design the circuit such that \(V_{O}=10 \mathrm{~V}\) and \(I_{Z}=10 \mathrm{~mA}\) for a nominal supply voltage of \(V^{+}=20 \mathrm{~V}\).

(b) Determine the regulator output resistance \(R_{o f}\).

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