Consider two concentric conducting spherical shell as shown in the figure. The inner shell has a radius a and carries charge +Q. The outer shell has a radius b and carries a charge -Q. The empty space between radius a and b is half filled with air and other half with a dielectric of permittivity \(\epsilon_0 , \epsilon \) respectively. Then which of the following is correct?
1
\(\frac{Q}{2 \pi (\epsilon_0 + \epsilon) r^2} \hat{r} \) everywhere in between a < r< b.
2
\(\frac{Q}{2 \pi \epsilon_0 r^2} \hat{r} \) on the air side and \(\frac{Q}{2 \pi \epsilon r^2} \hat{r} \)on the dielectric side in between a< r< b
3
\(\frac{Q}{2 \pi \epsilon_0 r^2} \hat{r} \)on the dielectric side and \(\frac{Q}{2 \pi \epsilon r^2} \hat{r} \) on the air side in between a< r< b.
4
\(\frac{Q}{4 \pi (\epsilon_0 + \epsilon) r^2} \hat{r} \) every where in between a< r