Current due to magnetic monopole passing through a wire loop

In summary: Motion of the particle is not symmetric and flux is zero only when particle is centered exactly in loop.
  • #1
versine
24
5
Homework Statement
A (hypothetical?) magnetic monopole passes through a wire loop. Which of the graphs in Fig. 35-22 shows the current as a function of time through the loop?
Relevant Equations
Not sure, maybe Gauss's law for magnetism?
I am stumped and would like a hint.
Answer choices:
1627596609384.png
 
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  • #2
You need to know a few things.
  1. What does the B field from a hypothetical monopole look like?
  2. What rule governs current induced in a loop by a B field?
This is a multiple choice question. Look at the four choices. What distinguishes each from the other?
 
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  • #4
hutchphd said:
You need to know a few things.
  1. What does the B field from a hypothetical monopole look like?
  2. What rule governs current induced in a loop by a B field?
This is a multiple choice question. Look at the four choices. What distinguishes each from the other?
The B field would look like this:

1627604002911.png

Using Faraday's law, won't the flux through the ring always be zero since the field lines are symmetric?
From inspection, it's probably not A since it looks logistic. D seems the most reasonable since its sinusoidal.
 
  • #5
versine said:
won't the flux through the ring always be zero since the field lines are symmetric?
Motion of the particle is not symmetric and flux is zero only when particle is centered exactly in loop. Look again.
 
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  • #6
versine said:
The B field would look like this:

View attachment 286856
Using Faraday's law, won't the flux through the ring always be zero since the field lines are symmetric?
From inspection, it's probably not A since it looks logistic. D seems the most reasonable since its sinusoidal.
I disagree. If normal bar magnet passes through the loop, the current rises, goes to zero, then reverses direction. If a magnetic monopole passes through the loop the current rises but never returns to zero (barring resistive dissapation). Can you see why? For an explanation please read the link in my post #3.
 
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  • #7
Thanks I get it now. I misread and thought it was moving in circles in the loop.
 
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FAQ: Current due to magnetic monopole passing through a wire loop

What is a magnetic monopole?

A magnetic monopole is a hypothetical particle that has only one magnetic pole, either a north or a south pole, unlike regular magnets which have both poles. This means that a magnetic monopole would have a net magnetic charge, unlike regular magnets which have a net neutral charge.

How does a magnetic monopole cause a current in a wire loop?

When a magnetic monopole passes through a wire loop, it induces a changing magnetic field. This changing magnetic field creates an electric field, which in turn causes a current to flow in the wire loop. This phenomenon is known as electromagnetic induction.

Is there any evidence for the existence of magnetic monopoles?

As of now, there is no direct evidence for the existence of magnetic monopoles. However, some theories in physics, such as Grand Unified Theories and String Theory, predict the existence of magnetic monopoles. Additionally, there have been some potential sightings of magnetic monopoles in particle accelerators, but these have not been confirmed.

Can a magnetic monopole pass through any type of wire loop?

Yes, a magnetic monopole can pass through any type of wire loop, as long as the loop is made of a conductive material. The conductive material allows for the flow of electric current induced by the changing magnetic field of the monopole.

What are the potential applications of magnetic monopoles passing through wire loops?

If magnetic monopoles were to be discovered and harnessed, they could potentially have a wide range of applications. For example, they could be used in more efficient electric motors, generators, and energy storage devices. They could also have applications in medical imaging and particle accelerators.

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