1.) An insulating sphere with a radius of 3.5×10^-2 has a uniform charge density of 2.52 uC/m^3 throughout its volume.
a) Find the magnitude of the electric field at a point 5.7×10^-2 m from the center of the sphere.
b) Find the magnitude of the electric field at the surface of the sphere.
c) Find the magnitude of the electric field at a point 1.5×10^-2 m from the center of the sphere.
2.) A point charge of -2.00 uC is located in the center of a spherical cavity of radius 6.54 cm inside an insulating spherical charged solid. The charge density in the solid is 7.34×10^-4 C/m^3 .
a) Calculate the magnitude of the electric field inside the solid at a distance of 9.49 from the center of the cavity.