3). the electric field in a certain region is radially outward from origin and has magnitude equal to Ar^3/2, where r is distance from the origin . the charge contained in a sphere of radius r , centered around origin is
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The answer to this question is that the charge contained ina sphere of radius r, centered around origin is 4A∈o*r^(7/2) Coulomb
Explanation:
The detailed explanation has been given in the attached image.
Here Gauss's law in its integral form has been used. It states that the flux of the electric field out of an arbitrary closed surface is equals to the charge Q enclosed by the surface divided by vacuum permittivity ∈o.
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