The electric potential inside a charged spherical conductor of radius R is given by , and the potential outside is given by . Using , derive the electric field (a) inside and (b) this charge distribution.
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Please answer True or False for the following questions:
1.) Gauss' law is useful for calculating the electric field when the charge distribution is highly symmetrical.
2.) At electrostatic equilibrium, the electric field is zero everywhere inside a conductor, and any charge can only be distributed on the surface of the conductor.
3.) Electric field just outside a charged conductor is perpendicular to the surface and has a magnitude
When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field , the resulting electric potential is for points inside the sphere and
for points outside the sphere, where is the (constant) electric potential on the conductor. Use this equation to determine the x, y, and z components of the resulting electric field (a) inside the sphere and (b) outside the sphere.
