Field due to a uniformly charged thin spherical shell

Electric Field due to a Uniformly Charged Thin Spherical Shell

Using Gauss's law, the electric field (E) due to a uniformly charged thin spherical shell with charge Q and radius R is:


1. Inside the shell (r < R): E = 0

2. On the surface (r = R): E = Q / (4πε₀R²)

3. Outside the shell (r > R): E = Q / (4πε₀r²)


The electric field behaves differently inside and outside the shell due to the symmetry of the charge distribution.

          or   

Electric Field around a Charged Spherical Shell

Imagine a hollow ball with charge evenly spread on its surface. The electric field behaves like this:

1. Inside the ball: No electric field (E = 0).
2. On the surface: Electric field is present.
3. Outside the ball: Electric field acts like all charge is concentrated at the center.

This is due to the symmetrical distribution of charge on the spherical shell.

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