Find magnitude of magnetic field from loop

In summary, we are asked to find the magnitude of the magnetic field at the center of a square loop with sides of length L and carrying current i. Using the equation B=μ0/4∏∫i * dl X r^ /r^2, we can solve for the magnetic field for one side and then multiply by 4 to get the total field for the loop.
  • #1
kgal
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Homework Statement


A square loop, with sides of length L, carries current i. Find the magnitude of the magnetic field from the loop at the center of the loop, as a function of i and L.


Homework Equations


B=μ0/4∏∫i * dl X r^ /r^2


The Attempt at a Solution


 
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  • #2
hi kgal! :smile:

(try using the X2 button just above the Reply box :wink:)
kgal said:
1. Homework Statement [/b]
A square loop, with sides of length L, carries current i. Find the magnitude of the magnetic field from the loop at the center of the loop, as a function of i and L.

do it for one side of the square, then multiply by 4 :smile:
 

FAQ: Find magnitude of magnetic field from loop

What is a loop in terms of magnetism?

A loop in terms of magnetism refers to a circuit or wire that is bent into a circular or oval shape and carries an electric current. The loop can create a magnetic field due to the flow of electrons through the wire.

How do you find the magnitude of magnetic field from a loop?

The magnitude of magnetic field from a loop can be found using the formula B = μ0 * I * N / L, where B is the magnetic field strength, μ0 is the permeability of free space, I is the current flowing through the loop, N is the number of turns in the loop, and L is the length of the loop. The units for B are Tesla (T).

What is the direction of the magnetic field from a loop?

The direction of the magnetic field from a loop can be determined using the right-hand rule. If you point your right thumb in the direction of the current flow in the loop, then your curled fingers will point in the direction of the magnetic field lines.

How does the magnetic field change when the current or number of turns in the loop is increased?

The magnetic field from a loop is directly proportional to the current flowing through the loop and the number of turns in the loop. This means that as the current or number of turns is increased, the magnetic field will also increase. Similarly, if the current or number of turns is decreased, the magnetic field will decrease.

Can the magnetic field from a loop be cancelled out?

Yes, it is possible for the magnetic field from a loop to be cancelled out. This can be achieved by placing an equal and opposite current-carrying loop next to the original loop. The magnetic fields from the two loops will then cancel each other out, resulting in a net magnetic field of zero.

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