The parameters for the summing amplifier in Figure 9.14 are \(R_{F}=100 \mathrm{k} \Omega\) and \(R_{3}=\infty\). The two input voltages are \(v_{I 1}=4+125 \sin \omega t \mathrm{mV}\) and \(v_{I 2}=-6 \mathrm{mV}\). Determine \(R_{1}\) and \(R_{2}\) to produce an output voltage of \(v_{O}=-0.5 \sin \omega t \mathrm{~V}\)

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Virtual ground RF ww Un ww RF R ww R R v=0 VO R U12 12=0- R 2=0- R3 V13 V13=0 R3 i3=0 (a) (b) vo Figure 9.14 (a) Summing op-amp amplifier circuit and (b) currents and voltages in the summing amplifier