Question

A ball with charge -50e is placed at the center of a hollow spherical conducting shell has a net charge of -50e. What is the charge on the shell's outer space? ((please solve with details))

Answer 1

1. Initial condition
   A hollow spherical conducting shell has a net charge of `-50e`.
   The negative charge (excess conduction electrons) will repel each other. This repulsion will force all the `-50e` charge to the outer surface of shell so that all electrons are maximum apart from each other.
2. Final Condition
   A ball with charge `-50e` is placed at the center of this hollow spherical conducting shell. This ball of negative charge will push equivalent electronic charge away from the inner surface. This will leave inner surface as electron deficient.
   `=>` Inner surface of shell will have `+50e` induced charge.
   The `-50e` charge will be pushed away to the outer surface as explained in initial condition above.

Total charge on the outer surface of conducting shell `="Initial Charge"+"Charge created due charge at the center"`
`=-50e+(-50e) =-100e`