Clear Up My Misconception: Magnet & Magnetic Force Work w/o Energy?

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Magnetic forces can perform work without expending energy, but this is due to the nature of magnetic fields, which only change the direction of a particle's velocity, not its speed. Unlike gravitational forces, magnetic potential is treated as a vector, and while magnetic potential energy can be analogous to gravitational potential energy, it operates under different principles. The discussion highlights that magnetic fields do not do work in the traditional sense because they act perpendicular to the motion of charged particles. The conversation also touches on the concept of conservative forces and their representation through potential energy functions. Overall, the relationship between magnetic forces and energy conversion is complex and distinct from gravitational forces.
Gelsamel Epsilon
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Sorry guys but I need someone to clear up what I consider something I may have a misconception about.

In my understanding a magnet or magnetic forces, can do work yet expend no energy. Is this correct? And if so is there a law I probably havn't learned yet? Is it one of those things no one can explain? Or am I wrong and there is some energy conversion, what ever it may be?

Sorta sounds like a stupid, and possibly simple question to me at the moment. But the answer is avoiding me D:~Gelsamel

Edit: Because it seems to me that if gravity does work through potential energy conversions then either magnets are mysterious and just do things or there is some sort of magnetic potential energy.
 
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Magnetic potential energy works pretty much the same way as gravitational.
 
Ah I see, so it is as simple as that. Thanks for clearing that up.
 
russ_watters said:
Magnetic potential energy works pretty much the same way as gravitational.

That isn't quite right. For starters, magnetic potential is a vector, not scalar. Assuming we're staying out of GR, GMm/r^2 is scalar. But the main thing is that magnetic fields do no work because they only change velocity perpendicular to direction of motion: F = q v x B. F perpendicular to v always. The speed of the accelerated particle remains unchanged, only the direction is altered.
 
Ah I see how that works, that's interesting.
 
i thought magnetic potential is a scalar??
 
According to Wik, it can either, but I'd still say that the potential energy of an object works pretty much the same in a static magnetic field as in a gravitational. I think Bo and I are talking about two different things: I'm just talking about when you pull a metalic object directly away from a magnet, you get the same d^2 relationship between distance and force and therefore the same potential energy equation. For that matter, any similar system (spring-mass, air shock) can be described via potential energy:
If a force acting on an object is a function of position only, it is said to be a conservative force, and it can be represented by a potential energy function which for a one-dimensional case satisfies the derivative condition.
http://hyperphysics.phy-astr.gsu.edu/hbase/pegrav.html
 
I´m pretty sure that the potential is always a scalar. By definition, the Force resulting from a potential U is F = grad U, which would make no sense if U was a vector field.
 
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