An insulating solid sphere of radius R has a volume charge density ρ = ρ0. Calculate the electric field at a point outside and inside the sphere. A thin cylindrical shell of radius R and height h is placed in the xy plane with its base at the origin. The cylinder has a uniform σ charge density, find the electric field at point P on its z axis (Use E = k∫dqr2 ).
![An insulating solid sphere of radius R has a non-uniform charge distribution with volume charge density ρv = ρ0r/R where ρ0 is a constant and r is the distance from the center of the sphere to the point of interest. What is the magnitude of the electric field inside the sphere (for r < R )? [NOTE: To compute the enclosed charge, consider differential spherical shell elements of radius s and thickness ds so that the differential volume dv = 4πs2 ds and the differential charge dq = ρvdv ] Er = ρ0 R2 ε0 r2 Er = ρ0 R24 ε0 r2 Er = ρ0 r22 ε0 R Er = ρ0 r24 ε0 R](https://www.doubtrix.com/uploads/editor/7829287856QxGCGnqDrx.jpeg)
