Problem 24.53 MC Bats are capable of navigating using the earth\'s field-a plus

Question

Problem 24.53 MC 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. 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 puT at a 60 angle below horizontal. You make a 70 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 Figure 1 of 2 UP SOUTH NORTH Do 5 of 10 next previous y-direction, and down in the negative y-direction, the original field of the earth BE would be in the fourth quadrant at 60 below the x-axis. (Figure 1) By adding the coil's magnetic field Booit we want the new net magnetic field, B to be in the third quadrant at 60 below the negative x-axis. (Figure 2) What is the Net proper orientation of the coil? Axis of the coil is horizontal and directed south-north. (Right-left in our picture.) Axis of the coil is horizontal and directed east-west. nto and out of the page Axis of the coil is 60 below horizontal and directed south north. (In the fourth quadrant, 60 below the x-axis.) Axis of the coil s 30 above horizontal and directed south-north (In the first quadrant, 30 abox the x-axis.) Submit Hints My Answers Give Up Review Part 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 Submit My Answers Give Up Part C What is the necessary current? Express your answer using three significant figures and include the appropriate units. Value Units Submit Hints My Answers Give Up Review Part Continue Provide Feedback

Explanation / Answer

1:

The axis of the coil should be a) horizontal and directed south-north.

2:

I=(B*d)/(N*u0)

B=the magnetic field in Tesla (not microTesla)
d=diameter in meters (not cm)
N=number of turns
u0=permiability constant=4pi*10^-7

I = 50*10^-6*0.7/(50*4pi*10^-7) = 0.5570

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