Consider a thin glass rod of length L lying along the x axis with one end at the origin. The rod carries a uniformly distributed positive charge Q.
At a location d > L, on the x axis to the right of the rod, what is the electric field due to the rod? Follow the standard four steps:
A) Use a diagram to explain how you will cut up the chargedrop, and draw the change of E contributed by a representativepiece.
B) Express algebraically the contribution each piece makes to the electric field. Be sure to show your integration variable andits origion on your drawing.
C) Write the summation as an integral, and simplify the integral as much as possible. State explicitly the range of yourintegration variable. Evaluate the integral.
D) Show that your result is reasonable. Apply as many tests asyou can think of.