Current due to magnetic monopole passing through a wire loop

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SUMMARY

The discussion centers on the behavior of current induced in a wire loop by a magnetic monopole passing through it. Participants analyze the characteristics of the magnetic field (B field) produced by a monopole and reference Faraday's law to understand the induced current. Key insights include that the flux through the loop is not always zero, particularly when the monopole is not symmetrically centered. The conversation emphasizes the distinction between the behavior of a magnetic monopole and a normal bar magnet in terms of current direction and magnitude.

PREREQUISITES
  • Understanding of Faraday's law of electromagnetic induction
  • Familiarity with magnetic field concepts, specifically magnetic monopoles
  • Knowledge of current behavior in conductive loops
  • Basic principles of electromagnetism
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  • Research the properties of magnetic monopoles and their theoretical implications
  • Study Faraday's law in depth, focusing on applications in different scenarios
  • Examine the differences in induced current behavior between monopoles and traditional magnets
  • Explore advanced topics in electromagnetism, such as magnetic field symmetry and flux calculations
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Physics students, educators, and researchers interested in electromagnetism, particularly those exploring theoretical concepts like magnetic monopoles and their effects on induced currents.

versine
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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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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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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.
 
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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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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Thanks I get it now. I misread and thought it was moving in circles in the loop.
 
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