Question

A solid insulating sphere of radius $5cm$ carries electric charge uniformly distributed throughout its volume.Concentric with the sphere is a conducting spherical shell with no net charge as shown in Figure O Q24.9. The inner radius of the shell is $10cm$, and the outer radius is $15cm$. No other charges are nearby. Similarly rank the electric flux through concentric spherical surfaces through points $A$, $B$, $C$, and $D$.

Answer 1

The ranking is $B=D>A>C$. The flux through the $4cm$ sphere is $(4/5{)}^{3}q/{ϵ}_0$. The flux through the $8cm$ sphere and through the $16-cm$ sphere is $q/{ϵ}_0$ because they enclose the same amount of charge The flux through the $12-cm$ sphere is $0$ because the field is zero inside the conductor.