Awire is bent to form a circular loop whose radius is 5 cm. the wire carries a current of 10.0 a. the resulting current loop is placed in a uniform magnetic field of 12 t, with its magnetic dipole moment vector making an angle of 30 degree with the direction of the field. find the magnitude of the torque that the magnetic field exerts on the wire. 1.88 n. m 0.94 n. m 0.47 n. m 0.16 n. m 0.0 n. m

To solve this problem it is necessary to use the concepts related to Torque generated by the current.

From its definition as magnitude, it can be described as

Where

A = Cross Sectional Area

I = Current

B = Magnetic Field

Angle between the magnetic field lines and normal to the loop area

Our values are given as

Replacing at the previous equation

Therefore the correct answer is 0.47Nm.

where's the following? you gotta add it to know what the choices are

explanation:

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