Figure P3-81 shows a circuit with two sources, a fixed load and a resistor \(R\). Select \(R\) for minimum power transfer to the load. Simulate in Multisim using the "Parameter sweep" under "Analyses" and do a linear sweep for \(R\) from 102 to \(1 \mathrm{M} 2\). Plot the power transferred to the load \(p_{4 \mathrm{k}}\) versus the variable \(R\). Find the minimum value of \(p_{4 \mathrm{k}} \mathrm{vs} R\). Narrow your sweep to obtain an accurate value of \(R\). Then using the value of \(R\) that you found either by hand calculation or using the DC Operating Point Analysis, explain why the minimum occurs.

+1 R 20 10 V | 5 mA 4