How Does Lenz's Law Relate to Magnetic Flux and Induced Currents?

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SUMMARY

Lenz's law dictates that the induced current in a coil will always oppose the change in magnetic flux, ensuring that perpetual motion is impossible. In the scenario presented, two magnets with like poles facing each other will still exhibit the dampening effect of Lenz's law when moved through a copper coil. The induced current will alternate direction as the magnets move, resisting their motion. The net current will not favor one direction due to the equal contribution of magnetic flux from both south poles.

PREREQUISITES
  • Understanding of Lenz's Law
  • Basic knowledge of magnetic flux
  • Familiarity with induced currents in electrical circuits
  • Concept of magnetic poles and their interactions
NEXT STEPS
  • Study the mathematical formulation of Lenz's Law
  • Explore the principles of magnetic flux and its calculation
  • Investigate the behavior of induced currents in various coil configurations
  • Learn about the implications of Lenz's Law in electromagnetic devices
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Physics students, electrical engineers, and anyone interested in the principles of electromagnetism and their practical applications.

rayjbryant
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If I have two magnets attached with like poles facing each other, will they still exhibit the dampening effect of Lenz's law when moved through a copper coil?
I've attached an illustration of my set up.
 

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rayjbryant said:
Summary: If I have two magnets attached with like poles facing each other, will they still exhibit the dampening effect of Lenz's law when moved through a copper coil?

I've attached an illustration of my set up.
Lenz's law is always obeyed. Otherwise you'D HAVE A PERPETUAL-MOTION MACHINE. tHERE IS NO FREE LUNCH.

iN YOUR CASE THE CURRENT THRU THE COIL WOULD FIRST GO ONE WAY, THEN THE OTHER, ALWAYS SUCH AS TO RESIST THE MAGNETS' MOTION.
 
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Would there be a net current in one direction do to greater flux density of the South poles?
 
rayjbryant said:
Would there be a net current in one direction do to greater flux density of the South poles?
Because the two south poles face each other? No, because the flux between the two south poles is the sum of the flux due to each south pole.
 
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rayjbryant said:
Summary: If I have two magnets attached with like poles facing each other, will they still exhibit the dampening effect of Lenz's law when moved through a copper coil?

I've attached an illustration of my set up.

I will ask you this: Is there any magnetic flux change through the coil as the magnets move through it?

Zz.
 
Good question.
Assuming the magnets are far away from the coil, move into then out of the coil in the opposite (could also be in the same) direction so the flux is initially and finally zero, then my hint is what you undoubtedly already know:
## \int_a^b f'(x) \, dx = f(b) - f(a) ## :smile:
 
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