As seen, any object with electric charge, stationary or moving, other than the charged object that created the field, experiences a force in an electric field. Also, any object with electric charge, stationary or moving, can create an electric field. Similarly, an electric current or a moving electric charge, other than the current or charge that created the field, experiences a force in a magnetic field, and an electric current created a magnetic field.

a. To understand how a moving charge can also create a magnetic field, consider a particle with charge q moving with velocity v. Define the position vector r = r. r leading from the particle to some location. Show that the magnetic field at that location is

B= µo/4π= qv x r/r^2

b. Find the magnitude of the magnetic field 1.05 mm to the side of a proton moving at 1.50 x 10^7 m/s.
c. Find the magnetic force on a second proton at this point, moving with the same speed in the opposite direction.
d. Find the electric force on the second proton

The answer and explanation is in the attached file

so here is the information for current research:

-nrel's geothermal analysts, scientists, and engineers perform a full range of research from developing advanced methods of locating and accessing geothermal resources to exploring innovative technologies to extract and produce clean energy from the heat of the earth

and here is the information for the technology of geothermal energy:

-it's clean and sustainable

-resources of geothermal energy range from the shallow ground to hot water and hot rock found a few miles beneath the earth's surface, and down even deeper to the extremely high temperatures of molten rock called magma

-almost everywhere, the shallow ground or upper 10 feet of the earth's surface maintains a nearly constant temperature between 50° and 60°f (10° and 16°c)

-geothermal heat pumps can tap into this resource to heat and cool buildings

-a geothermal heat pump system consists of a heat pump, an air delivery system (ductwork), and a heat exchanger-a system of pipes buried in the shallow ground near the building

-in the winter, the heat pump removes heat from the heat exchanger and pumps it into the indoor air delivery system

-in the summer, the process is reversed, and the heat pump moves heat from the indoor air into the heat exchanger

-the heat removed from the indoor air during the summer can also be used to provide a free source of hot water

this could be newton#'s law of cooling. the cooling curve is exponential