Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
4. Bats are capable of navigating using the carth'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 carth's field is 50 T at a 60° angle below horizontal. You make a 50-cm-diameter, 100-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 carth's field, creates a net field with the same strength and dip angle (60° below horizontal) as the carth's field but with a horizontal component that points south rather than north. What are the proper orientation of the coil and the necessary current?

4. Bats are capable of navigating using the carth'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 carth's field is 50 T at a 60° angle below horizontal. You make a 50-cm-diameter, 100-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 carth's field, creates a net field with the same strength and dip angle (60° below horizontal) as the carth's field but with a horizontal component that points south rather than north. What are the proper orientation of the coil and the necessary current?

icon
Related questions
Question
4. Bats are capable of navigating using the carth'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 carth's field is 50 T at a 60° angle below horizontal. You make a 50-cm-diameter, 100-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 carth's field, creates a net field with the same strength and dip angle (60° below horizontal) as the carth's field but with a horizontal component that points south rather than north. What are the proper orientation of the coil and the necessary current?
Transcribed Image Text:4. Bats are capable of navigating using the carth'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 carth's field is 50 T at a 60° angle below horizontal. You make a 50-cm-diameter, 100-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 carth's field, creates a net field with the same strength and dip angle (60° below horizontal) as the carth's field but with a horizontal component that points south rather than north. What are the proper orientation of the coil and the necessary current?
Expert Solution
Step 1

To produce a net magnetic field that has the same strength and dip angle as the Earth's field, but a different direction for the horizontal component, we need to add a magnetic field of the same strength as the Earth's field and with a horizontal component pointing south. We can achieve this by passing a current through the coil in a specific direction.

 

Let's start by calculating the strength and direction of the magnetic field we need to add. The Earth's magnetic field at the location of the experiment is 50 T at a 60° angle below horizontal. We need to add a magnetic field with the same strength and dip angle, but with a horizontal component pointing south. The horizontal component of the Earth's field is given by B_Earth*cos(60°), which is 25 T. So, we need to add a magnetic field with a strength of 50 T and a horizontal component of -25 T.

 

To produce this magnetic field, we need to pass a current through the coil. The direction of the current should be such that it produces a magnetic field that adds to the Earth's field in the desired way. We can use the right-hand rule to determine the direction of the current.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer