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, 50-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?

What is the necessary current?

Explanation / Answer

part a )

coil along horizontally

part b )

Bx = Bcostheta

By = Bsintheta

new B = 50 uT

part c )

for cuircular coil

B = uo*N*I/d

I = B*d/uo*N

d= diameter = 100cm = 1 m

I = 0.8 A

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