1.66 Force between two strips **
(a) The two strips of charge shown in Fig. 1.47 have width b,
infinite height, and negligible thickness (in the direction per- pendicular to the page). Their charge densities per unit area are
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±σ . Find the magnitude of the electric field due to one of the strips, a distance x away from it (in the plane of the page).
(b) Show that the force (per unit height) between the two strips equals σ 2b(ln 2)/π E0. Note that this result is finite, even though you will find that the field due to a strip diverges as you get close to it.