How Is Potential Difference Affected When a Loop Exits a Magnetic Field?

In summary, the potential difference in a wire can be found using V = BLv, where L is the height of the loop, when the loop is exiting a B-field. This formula may also be affected by the presence of a resistor on the loop. The direction of the current can be determined using Lenz's law. However, the shape of the loop and the direction of the magnetic field also play a role in determining the induced EMF through the loop, according to Faraday's law. The formula BLv may or may not be applicable, depending on the configuration.
  • #1
thursdaytbs
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If there's a loop exiting a B-field, where half of it is in the b-field and half of it is out. How would a potential difference be found in the wire?

I said that V = BLv, (where L is the height of the loop, disregarding the width) and found V to be 3v. Although, there is one resistor on the loop as well, does this effect the potential difference?

Also, the B-field goes into the paper, and teh B-field is moving to the right, out of the B-field. It asks for the direction of the current, and I said that the current moves clockwise because Lenz's law.

Can anyone confirm that the potentail difference is found through V=BLv when a loop is leaving a B-field, and that the L is the height of the loop, and the width of the loop can be disregarded since it's leaving the B-field constantly.
And, that in a B-field going into the paper, and a loop leaving it, the current is clockwise?

Any help's appreciated.
 
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  • #2
It depends on the shape of the loop, and the direction of the magnetic field.

Whatever the case, the induced EMF around the loop is equal to the rate of change of magnetic flux (field strength times loop area, if the field lines are perpendicular to the loop) through the loop. That's Faraday's law.

Blv could turn out to be correct, depending on the configuration.
 
  • #3


Yes, your approach to finding the potential difference using V=BLv is correct. The L in this equation represents the length of the wire that is within the magnetic field, so the width of the loop can be disregarded as it is not within the field. The potential difference is also affected by the presence of a resistor in the circuit, as it will cause a voltage drop. However, in this scenario, the resistor is not included in the equation V=BLv.

As for the direction of the current, your reasoning based on Lenz's law is correct. The current will flow clockwise in this situation, as the changing magnetic field induces a current in the opposite direction to try to oppose the change.

Overall, your understanding of the concept is correct. Just make sure to include the resistor in your calculations if it is present in the circuit. Keep up the good work!
 

What is "Loop Leaving a B-Field"?

"Loop Leaving a B-Field" refers to a phenomenon in which a charged particle, such as an electron, moves through a magnetic field in a circular or helical path, eventually leaving the magnetic field entirely.

How does a charged particle move in a magnetic field?

A charged particle moving through a magnetic field experiences a force known as the Lorentz force, which causes it to move in a circular or helical path. The direction of the force is perpendicular to both the direction of the particle's velocity and the direction of the magnetic field.

Why does a charged particle leave the magnetic field?

A charged particle can leave a magnetic field if it has enough energy to overcome the magnetic force acting on it. This can happen if the particle's speed increases or if the strength of the magnetic field decreases.

What factors affect the path of a charged particle in a magnetic field?

The path of a charged particle in a magnetic field is affected by several factors, including the strength of the magnetic field, the charge and mass of the particle, and the particle's initial velocity.

What are the applications of "Loop Leaving a B-Field" in science and technology?

The phenomenon of "Loop Leaving a B-Field" has many practical applications, such as in particle accelerators, where it is used to control and manipulate the paths of charged particles. It is also used in the design of devices such as magnetic resonance imaging (MRI) machines and particle detectors.

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