Recall for a capacitor ɛ is the permittivity of the dielectric used, ε = € , & , & ,= relative permittivity and E. = permittivity of vacuum Assume "Doc" Brown's prototype flux capacitor used a super alumina oxide dielectric which achieved 1000X the permittivity of normal alumina oxide, or 40,000X the permittivity of vacuum, and can achieve 1 mm spacing between plates. Further assume "Doc" limits the cross sectional area of his flux capacitor to 1 square meter, in an attempt to fit in the Delorean (this is the overlap area of the plates; the entire capacitor is a little larger to account for the ends. Don't worry about this). Calculate the height required for the capacitor in #2.

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

i think it would be 5