Bats are capable of navigating using the earth\'s field-a plus for an animal tha

Question

Bats are capable of navigating using the earth's field-a plus for an animal that may fly great distances from its roost at night. If, while sleeping during the day, bats are exposed to a field of a similar magnitude but different direction than the earth's field, they are more likely to lose their way during their next lengthy night flight. Suppose you are a researcher doing such an experiment in a location where the earth's field is 50 T at a 60 angle below horizontal. You make a 100 cm diameter, 200-turn coil around a roosting box; the sleeping bats are at the center of the coil. You wish to pass a current through the coil to produce a field that, when combined with the earth's field, creates a net field with the same strength and dip angle (60 below horizontal) as the earth's field but with a horizontal component that points south rather than north.

What is the correct magnitude of the coil's magnetic field? Express your answer using two significant figures and use microTesla as the unit.

Explanation / Answer

Here

theta = 60 degree

B = 50 uT

radius , r = 100/2 = 50 cm

N = 200

let the magnitude of coil's magnetic field is B1

as only the horizontal component of magnetic field is to be affected

B1 - B* cos(60) = B * cos(60)

B1 - 50 * 0.5 = 50 * 0.5

B1 = 50 uT

the magnetic field due to coil must be 50 uT in south direction

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