Bending Wires and Magnetic Fields?

In summary, the conversation discusses a homework question from a test that does not allow calculators and has a time limit of 1 minute. The use of Biot-Savart is suggested, but it is doubted that it can be solved within the time limit. It is also mentioned that only the verticals affect the center, and by symmetry arguments, the magnetic field due to a half wire will be half of a full wire. The person thanks the other for their input.
  • #1
albert1993
18
0

Homework Statement



see attached. this question is from a test that doesn't allow any calculators and usually makes students solve the problem in 1 minute max.

Homework Equations



perhaps biot savart is to be used? but I doubt that can be done in the time limit...

The Attempt at a Solution



Only the verticals affect the center? I don't know...
 

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  • #2
Only the verticals affect the center. For the horizontals, by simple symmetry arguments would you agree that the magnetic field due to a half wire will be half that of a full wire? If so, then you are done!
 
  • #3
Thank you!
 

Related to Bending Wires and Magnetic Fields?

1. What is the relationship between bending wires and magnetic fields?

The movement of electrical charges through a wire creates a magnetic field around the wire. This magnetic field can then interact with an external magnetic field, causing the wire to bend or move.

2. How is the direction of wire bending determined by the magnetic field?

The direction of wire bending is determined by the direction of the external magnetic field. The wire will move in a direction perpendicular to both the direction of the current in the wire and the direction of the external magnetic field.

3. How can I control the bending of a wire using a magnetic field?

The strength and direction of the magnetic field can be manipulated to control the bending of a wire. Increasing the strength of the magnetic field or changing its direction can alter the amount and direction of the wire's movement.

4. Can any wire be bent using magnetic fields?

Yes, any wire that allows for the flow of electrical current can be bent using magnetic fields. The strength and direction of the current and the strength and direction of the magnetic field will determine the amount of bending that occurs.

5. What are some practical applications of bending wires with magnetic fields?

This phenomenon has many practical applications, such as in electric motors and generators, where the motion of the wire is used to create mechanical energy. It is also used in particle accelerators, where magnetic fields are used to guide and control the movement of charged particles.

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