In: Physics
Imagine a universe that has a permitivity of ε = 3εo. Within this infinite space, you find a spherical distribution of charge of radius a that has a volumetric charge density of ρv = ( a r ) Cm−3 . a. Determine the expressions for the electric field inside and outside this spherical region. b. Determine an equation that represents the energy required to put together this distribution of charge. c. If a = 2 m, what is this energy equal to in Joules?