Assume each diode in the circuit shown in Figure P1.50 has a cut-in voltage of \(V_{\gamma}=0.65 \mathrm{~V}\).

(a) The input voltage is \(V_{I}=5 \mathrm{~V}\). Determine the value of \(R_{1}\) required such that \(I_{D 1}\) is one-half the value of \(I_{D 2}\). What are the values of \(I_{D 1}\) and \(I_{D 2}\) ?

(b) If \(V_{I}=8 \mathrm{~V}\) and \(R_{1}=2 \mathrm{k} \Omega\), determine \(I_{D 1}\) and \(I_{D 2}\).

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+51 R ID2 R = 1 k ID Figure P1.50 Vo