There are two charged particles on the x-axis. One has a charge of -5.0 nC and is located 2.0 cm to the right of the origin. The other has a charge of +10.0 nC and is located 5.0 cm to the right of the origin. What is the electric potential energy of the two charged particles?

Sarah has a small sphere with a charge of -4.0 nC, and Alex has another small sphere with a charge of +5.0 nC. Sarah's sphere is at y= -8.0 cm, while Alex's sphere is at y=14.0 cm on the y-axis. On the x-axis, at what points does the electric potential become zero?

During an experiment, charged particles M and N are placed 65.0 cm apart. Their charges are M = -8.50 µC and N = +3.50 µC. If the electric potential is zero at infinity, determine the electric potential at a point between the two charges, 30.0 cm from charge M. 

Determine the value of the electric potential at the point marked in green in the figure below.

A charged cylindrical insulator of radius R and length L carries a uniform charge density λ as illustrated below. Determine the electric potential at a distance r from the center of the cylinder along its axis. Note that R << L. 

A stationary particle of charge +3.25 μC is located at the origin of an XY plane. The position of the second particle of charge -4.40 μC changes from (x,y) = (-8.50 cm, 0 cm) to (x,y) = (10.0 cm, 12.5 cm). Calculate the work done by the electric force on the second particle. 

In a photoelectric device, electromagnetic radiation moves electrons from the cathode to the anode, doing 5.3 × 10 ^-19 J of work per electron. Calculate the emf (give magnitude only) created in the device.

A power supply does 32 J of work to push 4.8 × 10 ¹⁹ electrons from a positive terminal to a negative terminal on a load in a duration of 3.0 s. Calculate the emf (give magnitude only) of the power supply.

Two parallel plates form a capacitor with a plate area of 12.0 cm² and a separation distance of 1.20 mm. The plates are charged to a net charge of ±0.708 µC. (i) Calculate the electric field strength between the plates. Note: assume even electric field distribution between the plates. (ii) Find the electric potential difference between the plates.

Two solid disks with a radius of R₀ = 12 cm and a separation of 8.0 mm form a parallel plate capacitor. An 18 V power supply is connected to the disks. After an infinitely long time, the wires are disconnected while the charge on the disks is conserved. After disconnecting the power supply, the radius of the disks is changed to 1.5R₀. Calculate i) the charge stored on the disks, ii) the electric field strength between the disks, and iii) the potential difference between the electrodes at the separation 1.5R₀. 

Two rectangular flat pieces of copper measuring 20. cm × 8.0 cm lies parallel to each other with a separation of 2.3 cm. The magnitude of the electric field between the plates is 82 kV/m. Work out the potential difference between the plates.

Determine the potential energy in electron volts (eV) of an electron-positron pair formed from a photon interaction and separated by a distance of 0.051 nm apart.

Ignoring air resistance, use the unit eV and an appropriate metric prefix to report the kinetic energy of a 250 g cup released from rest at a height of 1.5 m above the ground when it strikes the ground.

A hollowed conducting sphere of radius r_o and charge +q is used to house a solid conducting sphere of radius r_i carrying a charge -q. Insulating supports are used to maintain the inner sphere in place. Derive an expression for V_io, the potential of the solid sphere relative to the hollowed sphere. Take electric potential to be zero at infinity.

Using the three equipotential surfaces corresponding to potentials of -150 V, 150 V, and 350 V, calculate the strength and direction of the electric field at the specific point shown as a dot in the figure below.