(a) Write down the integral and differential forms of Gauss' law in a dielec- tric, defining all quantities used. (b) A parallel plate capacitor is completely filled with a non-conducting diclectric. Show that the electric displacement, D, is uniform between the plates and calculate its value. (You may assume that the plates each have area A and are separated by a small distance d. Each plate carries a surface charge density a C/m².) • (c) The diclectric has a non-uniform relative permittivity
(a) Write down the integral and differential forms of Gauss' law in a dielec- tric, defining all quantities used. (b) A parallel plate capacitor is completely filled with a non-conducting diclectric. Show that the electric displacement, D, is uniform between the plates and calculate its value. (You may assume that the plates each have area A and are separated by a small distance d. Each plate carries a surface charge density a C/m².) • (c) The diclectric has a non-uniform relative permittivity
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