Exam 24: Electric Potential

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:

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:

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:

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:

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 graph shows the electric potential as a function of x in a certain region.What is the x component of the electric field in this region if V_s = 50 V?

In separate experiments, four different particles each start from far away with the same speed and impinge directly on a gold nucleus.The masses and charges of the particles are Rank the particles according to the distance of closest approach to the gold nucleus, from smallest to largest.

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 $\pi$ , 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:

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:

An electron is accelerated from rest through a potential difference V.Its final speed is proportional to:

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?

A particle with a charge of 5.5 *10^-8C is fixed at the origin.A particle with a charge of -2.3 *10^-8C is moved from x = 3.5 cm on the x axis to y = 4.3 cm on the y axis.The change in potential energy of the two-particle system 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?

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

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

Points R and T are each a distance d from each of two particles with charges of equal magnitudes and opposite signs as shown.If k = 1/4 $\pi$ , the work required to move a particle with negative charge q from R to T is:

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

An electron moves from point i to point f, in the direction of a uniform electric field.During this motion:

Equipotential surfaces associated with an electric dipole are:

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