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Please solve with steps 1. (a). Write down the differential version of Gauss's law for electric fields and define all the terms used. (b) The

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1. (a). Write down the differential version of Gauss's law for electric fields and define all the terms used. (b) The electric field E in a region of space, given in spherical polar coordinates, is E = arr where a is a constant. Calculate the charge density in this region of space. The divergence of E in spherical polar coordinates is given by 1 0 ( r E, ) V . E= 1 (E. sin e) + + 7 2 Or r sin 0 rsin 0 ap (c) From the charge density determined in part (b) calculate the total charge contained within a sphere of radius R, centred at the origin (r=0), in terms of a and R

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