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A total charge of Q = 3.83 ~ \mu CQ=3.83 μC is evenly distributed throughout a...

A total charge of Q = 3.83 ~ \mu CQ=3.83 μC is evenly distributed throughout a plastic spherical shell with an inner radius of r_1 = 0.165 ~ mr​1​​=0.165 m and an outer radius of r_2 = 0.662 ~ mr​2​​=0.662 m.. The shell is centered at the origin (x_c=0 , y_c=0 , z_c=0)(x​c​​=0,y​c​​=0,z​c​​=0). Calculate the magnitude of the electric field at the location (x = 0 ~ m, y = 0 ~ m, z = 1.64 ~ m)(x=0 m,y=0 m,z=1.64 m).

[Hint : make use of the special qualities of spherical symmetry to greatly reduce the complexity of this problem]

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