Current due to magnetic monopole passing through a wire loop

AI Thread Summary
The discussion revolves around the effects of a magnetic monopole passing through a wire loop and the induced current. Participants explore the characteristics of the magnetic field generated by a monopole and the application of Faraday's law to determine the induced current. There is a debate about whether the flux through the loop is always zero due to the symmetry of the field lines. One contributor clarifies that while a normal bar magnet causes the current to reverse, a monopole would lead to a continuous current increase without returning to zero. The conversation emphasizes understanding the differences in behavior between monopoles and traditional magnets.
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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