A metal ball with charge Q sits at the center of a thin, spherical, conducting shell The shell has charge Q ' and the space between the shell and the ball is filled with matter with dielectric constant Use the stress tensor method to prove that if the shell were split into two hemispheres, the two halves stay together only if Q ' has the opposite sign to Q and 1 1 1 K

Question: A metal ball with charge Q sits at the center of a thin, spherical, conducting shell. The shell has charge Q' and the space between

A metal ball with charge Q sits at the center of a thin, spherical, conducting shell. The shell has charge Q' and the space between the shell and the ball is filled with matter with dielectric constant κ. Use the stress tensor method to prove that if the shell were split into two hemispheres, the two halves stay together only if Q' has the opposite sign to Q and 1 1+ 1 K

1 1+ 1 K

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