Question: PART II - LONG PROBLEM. Provide a detailed solution for the following problem. Include a sketch when appropri- ate. (6) 1. A sphere of radius

PART II - LONG PROBLEM. Provide a detailed solution for the following problem. Include a sketch when appropri- ate. (6) 1. A sphere of radius R has a volumetric charge density that is a function of the radius, p(r) = cr, where c is a constant and r is the radius. a) Determine the total charge of the sphere in terms of R and c. Note: the general expression for an infinitesimal charge in terms of the volume can be written as: dq = pdV and from your formula sheet you may write the volume element for a sphere as: dV = Anr-dr b) Let c= 150.0 /C/m" and R = 20.0 cm. What is the magnitude of the electric field at r = 25.0 cm and r = 10.0 cm

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