Apositive charge distribution exists within a nonconducting spherical region of radius a. the volume charge density ρ is not uniform but varies with the distance r from the center of the spherical charge distribution, according to the relationship ρ=βr for 0< =0< =a, where β is a positive constant, and ρ=0, and r> a. a. show that the total charge q in the spherical region of radius a is βπa^4b. in terms of β,r, a and fundamential constants, determine the magnitude of the electric field at a point a from distance r from the center of the spherical charge distribution for each of the following cases. i. r> aii. r=aiii 0

Consider each of the electric- and magnetic-field orientations given next. in each case, what is the direction of propagation of the wave? a)\vec ein the +xdirection,\vec bin the +ydirection. choose+ x direction- x direction+ y direction- y direction+ z direction- z direction b)\vec ein the -y direction,\vec bin the +x choose+ x direction- x direction+ y direction- y direction+ z direction- z direction c)\vec ein the +z direction,\vec bin the -x direction. choose+ x direction- x direction+ y direction- y direction+ z direction- z direction d)\vec ein the +y direction,\vec bin the -z direction. choose+ x direction- x direction+ y direction- y direction+ z direction- z direction