The circuit in Figure P9.58 is used to drive an LED with a voltage source. The circuit

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The circuit in Figure P9.58 is used to drive an LED with a voltage source. The circuit can also be thought of as a current amplifier in that, with the proper design, \(i_{D}>i_{1}\).

(a) Derive the expression for \(i_{D}\) in terms of \(i_{1}\) and the resistors.

(b) Design the circuit such that \(i_{D}=12 \mathrm{~mA}\) and \(i_{1}=1 \mathrm{~mA}\) for \(v_{I}=5 \mathrm{~V}\).

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