Analytic calculations of the electric field of a parallel-plate capacitor are notoriously difficult [1, 2, 3, 4, 5, 6, 7, 8]. The usual goal of such efforts is a calculation of the correction to the hard-edge approximation, C = A/4πd (in Gaussian units), of the capacitance for plates of area A separated by distance d. Calculate instead the electromagnetic momentum of the parallel-plate capacito...