Exam 24: Electric Potential

A conducting sphere with radius R is charged until the magnitude of the electric field just outside its surface is E.The electric potential of the sphere, relative to the potential for away, is:

The potential difference between two points is 100 V.If a particle with a charge of 2 C is transported from one of these points to the other, the magnitude of the work done is:

If 500 J of work are required to carry a 40-C charge from one point to another, the potential difference between these two points is:

A tiny sphere carrying a charge of 6.5 µC sits in an electric field, at a point where the electric potential is 240 V.What is the sphere's potential energy?

The work required to carry a particle with a charge of 6.0-µC from a 5.0-V equipotential surface to a 6.0-V equipotential surface and back again to the 5.0-V surface is:

A geologist measures the Earth's electric field near the surface, and finds that equipotential lines 100 V apart are at a distance of 75 cm from each other.Assuming the electric field is uniform, what is its magnitude?

A 5-cm radius isolated conducting sphere is charged so its potential is +100 V, relative to the potential far away.The charge density on its surface is:

Compared to the magnitude of the electric potential far from a point charge, the magnitude of the electric potential far from an electric dipole:

Three particles lie on the x axis: particle 1, with a charge of 1 * 10^-8 C is at x = 1 cm, particle 2, with a charge of 2 * 10^-8 C, is at x = 2 cm, and particle 3, with a charge of -3 *10^-8 C, is at x = 3 cm.The potential energy of this arrangement, relative to the potential energy for infinite separation, is:

A particle with a charge of 5.5 *10^-6 C is 3.5 cm from a particle with a charge of -2.3 *10^-8 C.The potential energy of this two-particle system, relative to the potential energy at infinite separation, is:

A particle with a charge of 5.5*10^-8C charge is fixed at the origin.A particle with a charge of-2.3 *10^-8C charge is moved from x = 3.5 cm on the x axis to y = 3.5 cm on the y axis.The change in the potential energy of the two-charge system is:

The fact that we can define electric potential energy means that:

During a lightning discharge, 30 C of charge move through a potential difference of 1.0 * 10⁸ V in 2.0* 10^-2 s.The energy released by this lightning bolt is:

A conducting sphere has charge Q and its electric potential is V, relative to the potential far away.If the charge is doubled to 2Q, the potential is:

In the diagram, the points 1, 2, and 3 are all the same very large distance from a dipole.Rank the points according to the values of the electric potential at them, from the most negative to the most positive.

Choose the correct statement:

Two large parallel conducting plates are separated by a distance d, placed in a vacuum, and connected to a source of potential difference V.An oxygen ion, with charge 2e, starts from rest on the surface of one plate and accelerates to the other.If e denotes the magnitude of the electron charge, the final kinetic energy of this ion is:

Equipotential surfaces associated with an electric dipole are:

The electric field in a region around the origin is given by , where C is a constant.The equipotential surfaces are:

Eight identical spherical raindrops are each at a potential V, relative to the potential far away.They coalesce to make one spherical raindrop whose potential is: