Exam 17: Electric Potential

A pair of parallel conducting plates have potentials of −17 V and 55 V, respectively. How much work needs to be done on an electron in order to move it from the 55 V to the −17 V plate?

The electric field in a given location points along the -x-axis. This means that

If protons are accelerated from rest in a Van de Graff accelerator through a potential difference of 1.00 MV, what is their resulting speed?

A pair of electric charges has a positive potential energy. This implies that

What is the distance between a −2.00 μC charge and a −3.00 μC charge if their potential energy is 0.491 J?

A pair of conductors are connected with a wire. Which of the following statements is necessarily true?

A parallel plate capacitor has plates of area 100 cm² and separation 0.25 mm. If this capacitor is charged with 25 pC, what is the average charge density on the positive plate?

If electrons are accelerated from rest in an electron gun by sending them through a potential difference of 11.0 kV, what is the resulting kinetic energy of each electron?

The unit of electric potential, the volt, is equal to a

If the charge on a parallel plate capacitor doubles, which of the following also doubles?

Three point charges, q₁, q₂, and q₃, are arranged so the potential energy for the pair q₁ and q₂ is 0.12 J and for the pair q₂ and q₃ is 0.23 J. If the total potential energy of the arrangement is 0.60 J, what is the potential energy of the pair q₁ and q₃?

Two large equipotential surfaces are flat and parallel, and they are separated by a relatively small distance compared to their size. One surface is at 25 V and the other is at 33 V. The surfaces are 1.25 cm apart. Assuming the electric field is uniform between the surfaces, what is the direction of the electric field midway between them?

A parallel plate capacitor with circular plates having radius 0.07 m is filled with a dielectric of constant 2.2. If it is desired to store 12 × 10⁻⁶ J in this capacitor, what must the separation distance be for a voltage of 1.5 kV?

A parallel plate capacitor has a paper dielectric having dielectric strength 8.0 kV/mm and dielectric constant 3.0. The plate area is 3000 cm² and the plate separation is 0.50 mm. What is the capacitance?

A conducting sphere of radius 20 cm has a charge Q placed on it producing a field of magnitude E₀ at its surface. More charge is added to the surface until the magnitude of the field at the surface is 2 E₀. If the potential at the surface was V₀ when the field was E₀, what is the potential when the field is 2 E₀?

The unit V is the same as a

A hollow conducting sphere of radius 12 cm has a net charge of 18 μC. What is the potential at the surface of the sphere?

A 22 μF capacitor is charged to 100 V. What is the energy stored in the capacitor?

If the area of the plates of a parallel plate capacitor is tripled and the plate separation is halved, by what factor does the capacitance change?

A parallel plate capacitor is attached to a voltage source providing 12 V. If an insulator of dielectric constant 6.0 is then inserted between the capacitor plates, what happens to the surface charge density on the plates, assuming the voltage source is still attached?