A proton moves in a straight line for a distance of . Along this path, the electric field is uniform with a value of . Find the potential difference created by the movement.

The charge of a proton is .

The potential outside of a charged conducting cylinder with radius and charge per unit length is given by the below equation.

What is the electric field at a point located at a distance from the surface of the cylinder?

A nonuniformly charged hemispherical shell of radius (shown above) has surface charge density . Calculate the potential at the center of the opening of the hemisphere (the origin).

A proton moves in a straight line for a distance of . Along this path, the electric field is uniform with a value of . Find the work done on the proton by the electric field.

The charge of a proton is .

Three equal point charges are placed at the vertices of an equilateral triangle of side length . Calculate the potential at the center of the triangle, labeled P.

A uniformly charged square frame of side length carries a total charge . Calculate the potential at the center of the square.

You may wish to use the integral:

A uniformly charged ring of radius carries a total charge . Calculate the potential a distance from the center, on the axis of the ring.

Three identical point charges with are placed so that they form an equilateral triangle as shown in the figure. Find the electric potential at the center point (black dot) of that equilateral triangle, where this point is at a equal distance, , away from the three charges.

A negative charge of magnitude is placed in a uniform electric field of , directed upwards. If the charge is moved upwards, how much work is done on the charge by the electric field in this process?

A nonuniformly charged ring of radius carries a linear charge density of . Calculate the potential at the center of the ring.