Consider the parallel-plate capacitor of Problem 6.30, but this time the charged dielectric exists only between z = 0 and z = b, where b<d. Free space fills the region b<z<d. Both plates are at ground potential. By solving Laplace’s and Poisson’s equations, find (a) V(z) for 0<z<d; (b) the electric field intensity for 0<z<d. No surface charge exists at z = b, so both V and Dare continuous there.
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