Physic

4. (20 points) A solid nonconducting sphere of radius R = 10.0 cm has a non-uniform positive charge distribution of volume charge density p = 1/r pC/m3 and two nonconducting rods of length L= 15.0 cm with a uniform positive charge distribution of linear charge density ) = 2.00 pC/m3 (r is the radial distance). What is the magnitude of the electric field due to the Sphere at (a) r = R/2, (b) r = 2R (at point P)? (c) What is the magnitude of the electric field due to Rod 1 at point P at distance R from the rod? (d) What are the magnitude and direction of the net electric field due to Rod 1, Rod 2, and the Sphere at point P? Rod 2 R Rod 1