Assume that all transistors in the circuit in Figure P10.38 are matched and that (beta=infty) (neglect base

Question:

Assume that all transistors in the circuit in Figure P10.38 are matched and that \(\beta=\infty\) (neglect base currents).

(a) Derive an expression for \(I_{O}\) in terms of bias voltages and resistor values.

(b) Show that if \(R_{1}=R_{2}\) and \(I_{O}=I_{\mathrm{REF}}\), then \(I_{O}=\left(V^{+}-V^{-}\right) / 2 R_{E}\), which means that the currents are independent of \(V_{B E}\).

(c) For \(V^{+}=+5 \mathrm{~V}\) and \(V^{-}=-5 \mathrm{~V}\), design the circuit such that \(I_{O}=0.5 \mathrm{~mA}\).

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