1 Force on Current Loop A current loop with a radius of b is parallel to the a -y plane and centered on z = d. The current in the loop is 1. I d There is an external magnetic field of Но то Beat 2 cos Of + sin 60) 47 r3 (This field is due to a magnetic dipole at the origin.) 1. What is Bert at (x, y, z) = (b, 0, d)? 2. Explain why the net force on the loop will be in the z direction. (Note: earlier had -z typo.) 3. If the loop is flexible, will it tend to compress or expand? 4. Compute the net force (magnitude and direction) on the loop. Your answer should be in terms of µo, I, mo, b, and d. It may help to draw the loop as viewed from a point above with vectors indicating the direction of B.t and the associated force. ext
1 Force on Current Loop A current loop with a radius of b is parallel to the a -y plane and centered on z = d. The current in the loop is 1. I d There is an external magnetic field of Но то Beat 2 cos Of + sin 60) 47 r3 (This field is due to a magnetic dipole at the origin.) 1. What is Bert at (x, y, z) = (b, 0, d)? 2. Explain why the net force on the loop will be in the z direction. (Note: earlier had -z typo.) 3. If the loop is flexible, will it tend to compress or expand? 4. Compute the net force (magnitude and direction) on the loop. Your answer should be in terms of µo, I, mo, b, and d. It may help to draw the loop as viewed from a point above with vectors indicating the direction of B.t and the associated force. ext
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Need help with part 4 please.
Transcribed Image Text:1 Force on Current Loop
A current loop with a radius of b is parallel to the a- y plane and centered
on z = d. The current in the loop is 1.
I
There is an external magnetic field of
Ho mo
Bert =
2 cos Of + sin 00)
47 p3
(This field is due to a magnetic dipole at the origin.)
1. What is Beat at (x, y, z) = (b, 0, d)?
2. Explain why the net force on the loop will be in the z direction. (Note:
earlier had
z typo.)
3. If the loop is flexible, will it tend to compress or expand?
4. Compute the net force (magnitude and direction) on the loop. Your
answer should be in terms of µo, I, mo, b, and d. It may help to draw the
loop as viewed from a point above with vectors indicating the direction
of Becet and the associated force.
Note that the loop shown will create a magnetic field. However, when
computing the force on the loop, the field due to the loop is omitted, and
only Beet is used. The reason is the same reason that when you compute the
force on an object in mechanics, you only use the force due to the
gravitational field of Earth. Although each part of the object exerts a
gravitational force on the other parts of the object, the net "self-force" is
zero.
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