The electric field intensity inside a charged hollow sphere is zero. This is due to the symmetry of the charge distribution on the hollow sphere, which results in the cancellation of electric field lines inside the sphere, as explained by Gauss's law. Outside the sphere, the electric field behaves as if all the charge were concentrated at the center of the sphere.
Explanation
- Inside the hollow sphere (at any point where the distance rrr from the center is less than the radius RRR of the sphere), the net enclosed charge is zero, resulting in zero electric field intensity.
- This phenomenon is a direct consequence of Gauss's law and the shell theorem, which applies to spherically symmetric charge distributions.
- Outside the sphere (for r>Rr>Rr>R), the electric field intensity EEE is given by E=14πϵ0Qr2E=\frac{1}{4\pi \epsilon_0}\frac{Q}{r^2}E=4πϵ01r2Q, where QQQ is the total charge on the sphere, rrr is the distance from the center, and ϵ0\epsilon_0 ϵ0 is the permittivity of free space.
This result applies for both conducting and non-conducting hollow spheres with charge distributed on their surface.
