7.5 Equipotential Surfaces and Conductors

What are the equipotential surfaces for an infinite line charge?

If two points are at the same potential, are there any electric field lines connecting them?

Is the electric potential necessarily constant over the surface of a conductor?

Can a positively charged conductor be at a negative potential? Explain.

A very large sheet of insulating material has had an excess of electrons placed on it to a surface charge density of $–3.00 \text{nC}/\text{m}^{2}$. (a) As the distance from the sheet increases, does the potential increase or decrease? Can you explain why without any calculations? Does the location of your reference point matter? (b) What is the shape of the equipotential surfaces? (c) What is the spacing between surfaces tha…

Two large charged plates of charge density $\pm 30 \mu \text{C}/\text{m}^{2}$ face each other at a separation of 5.0 mm. (a) Find the electric potential everywhere. (b) An electron is released from rest at the negative plate; with what speed will it strike the positive plate?

Two parallel plates 10 cm on a side are given equal and opposite charges of magnitude $5.0 \times 10^{−9} \text{C} .$ The plates are 1.5 mm apart. What is the potential difference between the plates?

A solid cylindrical conductor of radius a is surrounded by a concentric cylindrical shell of inner radius b. The solid cylinder and the shell carry charges Q and –Q, respectively. Assuming that the length L of both conductors is much greater than a or b, what is the potential difference between the two conductors?