A solid nonconducting sphere of radius R has a total charge Q which is distributed according...

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A solid nonconducting sphere of radius R has a total charge Q which is distributed according to Q = br, where o is the charge per unit volume (in C/m), r is the distance from the center of the sphere in meters, and b is an unknown constant. a. Find the value of b. Express your answer in terms of the other given quantities and 0. b = V 0. abc sin(x) x10 Submit Reset All C/m4 Reset Equate two expressions for the total charge on the sphere: Q, and the integral of the charge density over the volume of the sphere. It is helpful to mentally divide up the sphere into thin spherical shells. Then the charge dq on a shell of radius and thickness dr is given by dq = Q(r) 4 r dr, where o(r) = br is the charge density. b. Find the magnitude El of the electric field at a distance r from the center, where r c. Find the magnitude El of the electric field at distance r2 from the center, where r2 > R. \E\= abc sin(x) x10 Submit Reset All Reset N/C A solid nonconducting sphere of radius R has a total charge Q which is distributed according to Q = br, where o is the charge per unit volume (in C/m), r is the distance from the center of the sphere in meters, and b is an unknown constant. a. Find the value of b. Express your answer in terms of the other given quantities and 0. b = V 0. abc sin(x) x10 Submit Reset All C/m4 Reset Equate two expressions for the total charge on the sphere: Q, and the integral of the charge density over the volume of the sphere. It is helpful to mentally divide up the sphere into thin spherical shells. Then the charge dq on a shell of radius and thickness dr is given by dq = Q(r) 4 r dr, where o(r) = br is the charge density. b. Find the magnitude El of the electric field at a distance r from the center, where r c. Find the magnitude El of the electric field at distance r2 from the center, where r2 > R. \E\= abc sin(x) x10 Submit Reset All Reset N/C