(Challenge Problem) Charge is distributed throughout a spherical volume of radius R with a density p = ar², where a is a constant (of unit C/m5). Determine the electric field due to the charge at points both inside and outside the sphere. Give your answers in terms of 'pi', 'alpha', R, k, and r. Determine the total amount of charge in the sphere. Qencl = (4- alpha - R5) 5 What is the electric field outside the sphere? E(r > R) = k ( 4n · alpha · R²) 4π 5 2.2
(Challenge Problem) Charge is distributed throughout a spherical volume of radius R with a density p = ar², where a is a constant (of unit C/m5). Determine the electric field due to the charge at points both inside and outside the sphere. Give your answers in terms of 'pi', 'alpha', R, k, and r. Determine the total amount of charge in the sphere. Qencl = (4- alpha - R5) 5 What is the electric field outside the sphere? E(r > R) = k ( 4n · alpha · R²) 4π 5 2.2
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Step 1: Total amount of charge in the sphere
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