A negatively charged rod of finite length carries charge with a uniform charge per unit length. Sketch the electric field lines in a plane containing the rod.

A very large nonconducting plate lying in the xy-plane carries a charge per unit area of 7?. A second such plate located at z = 3.10 cm and oriented parallel to the xy-plane carries a charge per unit area of −8?. Find the electric field for the following. (a) z < 0 ?/?0 (b) 0 < z < 3.10 cm ?/?0 (c) z > 3.10 cm ?/?0

Suppose there are two uniformly charged non-conducting spheres, one with a charge +Q, the other of charge -Q, each with radius R. The centres of these spheres are separated by a distance z = 3R. Draw a diagram indicating this, and show the positions where the electric field is equal to zero.

Problem 12:   A uniformly charged rod of length L = 1.4 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 8.2 μC. A point P is located on the x-axis a distance a = 1.8 m to the right of the origin. Part (a)  Consider a thin slice of the rod of thickness dx located a distance x away from the origin. What is the direction of the electric field at point P due to the charge on this thin slice of the rod?  Part (b)  Write an equation for the electric field dE at point P due to the thin slide of the rod dx. Give your answers in terms of the variables Q, L, x, a, dx, and the Coulomb constant, k. Notice that the coordinate x will be less than zero over the length of the rod.  Part (c)  Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P.   Part (d)  Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged…