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 90 cm diameter, 250-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.

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. Figure 1 of 2 UP SOUTH NORTH 60° DOWN Part B What is the correct magnitude of the coil's magnetic field? Express your answer using two significant figures and use AT as the unit. HT Boil Submit My Answers Give Up Part C What is the necessary current? Express your answer using three significant figures and include the appropriate units. I Value Units Submit Hints My Answers Give Up Review Part

Explanation / Answer

b)

Be = 50uT (cos60 i - sin60 j )

Bnet = 50uT (-cos60 i - sin60 j)

Now, Be + B2 = Bnet

So, B2 = Bnet - Be

= 50uT (-cos60 i - sin60 j) -  50uT (cos60 i - sin60 j )

= 50uT (-2*cos60 i)

= -50uT i

So, magnitude of magnetic field = 50 uT

c)

B2 = N*u*I/(2*R)

50*10^-6 = 250*1.26*10^-6*I/(2*0.45)

=> I = 0.143 A <-----answer

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