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A problem that involves calculating the electric field and charge distribution on conducting spheres and a shell in electrostatic equilibrium using gauss's law. Students will gain a deeper understanding of gauss's law and its application to complex electrostatic systems.
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EX: A solid conducting sphere of radius a carries a net positive charge 2Q. A conducting spherical shell of inner radius b and outer radius c is concentric with the solid sphere and carries a net charge –Q. Using Gauss’s law, find the electric field in the regions labeled ①,②,③, and ④ and the charge distribution on the shell when the entire system is in electrostatic equilibrium.
