21. given a non conducting spherical shell
inner radius, ri = 4 cm
outer radius, ro = 6 cm
volume charge density = rho = b/r
b = 3 uC/m^2
net charge in the shell = q
for thin shell of thickness dr at radius r
dq = rho*4*pi*r^2*dr = 4*pi*b*r*dr
hence
q = integral(dq) from ri to ro
q = 2*pi*b(ro^2 - ri^2) = 2*pi*3uC(0.06^2 - 0.04^2) =
0.0376991118430 uC
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