HW # 2: 4.29, 4.36, 4.44, 4.54, 4.60, 4.63 - Due Sept. 23, 2011 Solutions 4.29 A spherical shell with outer radius b surrounds a charge-free cavity of radius a < b (Fig. P4.29). If the shell contains a change density given by , where is a positive constant, determine D in all regions. This should be broken up into three regions. Region 1 includes Region 2 includes Region 3 includes For each region, ∮ . Since D is radially oriented, ̂ ||, so ∮ ∫ || || ∫ || ∫ || For region 1, For region 2, ∫ , where r’ is the location of interest. For region 3, ∫ Therefore, for any r, ̂ { () (;)
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HW # 2: 4.29, 4.36, 4.44, 4.54, 4.60, 4.63 - Due Sept. 23 ... Solutions.pdf · HW # 2: 4.29, 4.36, 4.44, 4.54, 4.60, 4.63 - Due Sept. 23, 2011 Solutions 4.29 A spherical shell with
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