Field Inside a Cavity in a Charged Sphere · IPhO 2000 #1

Physics · gauss-law · electromagnetism

Problem

A solid insulating sphere of radius RR has uniform volume charge density ρ\rho. A spherical cavity of radius R/2R/2 is carved out, centered at distance R/2R/2 from the center of the original sphere. Find the electric field inside the cavity.

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