Past exam of the MPhil in micro- and nanotechnology enterprise course of the University of Cambridge / 2022 / Paper 1 / Section B / 12 / iii / c / Solution

The temperature difference is $200\mathrm{K}$, so the pair open-circuit voltage isFor two identical legs with the stated per-leg geometry,At matched load $R_L=R$,The load voltage is $0.0336\mathrm{V}$, and multiplying it by the current reproduces the power. If $\rho$ instead denotes an already combined pair resistivity, $R=0.01196\Omega$, giving $I=2.81\mathrm{A}$ and $P_{\max }=0.0944\mathrm{W}$. These alternatives follow the same convention distinction as the figure-of-merit calculation; they should not be mixed.