Exam 24: Electric Potential

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:

An electrically charged object creates an electric field. The electric potential due to this object:

In a certain region of space the electric potential increases uniformly from east to west and does not vary in any other direction. The electric field:

Positive charge is distributed uniformly throughout a non-conducting sphere. The highest electric potential occurs:

The diagram shows four pairs of large parallel conducting plates. The value of the electric potential is given for each plate. Rank the pairs according to the magnitude of the electric field between the plates, least to greatest.

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:

An electron has charge -e and mass m_e. A proton has charge e and mass 1840m_e. A "proton volt" is equal to:

The electric potential in a certain region of space is given by V = -7.5x² + 3x, where V is in volts and x is in meters. In this region the equipotential surfaces are:

A particle with charge q is to be brought from far away to a point near an electric dipole. No work is done if the final position of the particle is on:

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?

Choose the correct statement:

Two particles with charges Q and -Q are fixed at the vertices of an equilateral triangle with sides of length a. If k = 1/4 $\pi$$\varepsilon$ ₀, the work required to move a particle with a charge q from the other vertex to the center of the line joining the fixed charges is:

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:

An electron volt is:

An electric dipole consists of two equal and opposite charged particles of mass 1.2 g and charge 3.7 µC separated by 1.7 mm. What is the escape speed of the positive charge - that is, how much speed would you have to give it so it would escape the other charge?

Two conducting spheres are far apart. The smaller sphere carries a total charge of Q. The larger sphere has a radius that is twice that of the smaller and is neutral. After the two spheres are connected by a conducting wire, the charges on the smaller and larger spheres, respectively, are:

A total charge of 7 * 10^-8 C is uniformly distributed throughout a non-conducting sphere with a radius of 5 cm. The electric potential at the surface, relative to the potential far away, is about:

A solid metal sphere carries a charge of 5 *10^-9 C and is at a potential of 400 V, relative to the potential far away. The potential at the center of the sphere is:

A wire carrying a charge density of λ C/m is bent into a circle of radius r. What is the electric potential at the center of the circle?

Three possible configurations for an electron e and a proton p are shown below. Take the zero of potential to be at infinity and rank the three configurations according to the potential at S, from most negative to most positive.