Q2 (20 pts). A volumetric charge density exists between two spherical shells defined by radii a[m] and b [m], respectively. If b > a and no charge exists anywhere else, determine the total charge Q enclosed between the shells. The charge density is given as ρv = ρ0 Ra[C/m3], where ρ0 is a constant and R is the radial coordinate.
![Q2 (20 pts). A volumetric charge density exists between two spherical shells defined by radii a[m] and b [m], respectively. If b > a and no charge exists anywhere else, determine the total charge Q enclosed between the shells. The charge density is given as ρv = ρ0 Ra[C/m3], where ρ0 is a constant and R is the radial coordinate.](https://www.doubtrix.com/uploads/editor/7802552133PhDEgQuueJ.png)
![A volumetric charge density exists between two spherical shells defined by radii a [m] and b [m], respectively. If b > a and no charge exists anywhere else, determine the total charge Q enclosed between the shells. The charge density is given as ρv = ρ0R/a [C/m3], where ρ0 is a constant and R is the radial coordinate.](https://www.doubtrix.com/uploads/editor/7701335832oQkpCPrxnI.png)
![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)