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The Electric potential V (r) due to a spherically symmetric nonuniform charge distribution

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The electric potential V (r) due to a spherically symmetric nonuniform charge distribution is of the form attached for values of r less than . For r > a the electric potential is zero. p_0 is a constant with units Cm^-3 and a is a constant with units of meters. i) Derive an expression for the electric field E_r in the radial direction. ii) Derive an expression for the charge density p(r). iii) Sketch your results.

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The electric potential due to nonuniform charge distribution is analyzed. The solution derives an expression for the charge density and sketches the results.

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