Question

Is the magnetic field conservative or nonconservative?? ​

Answer 1

hi here is ur answer

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In a force field the value of the field at any location in space determines the magnitude and direction of the force a test particle will experience. That is not true for a point charge in a magnetic field. The force experienced by a point charge depends not just on its charge and location, but also how fast it is moving and in what direction. So the magnetic field isn't a force field and the definition of conservative in the Wikipedia article does not apply. So in this case we need to define conservative for ourselves. What do we want conservative to mean? For me the most meaningful definition is the idea that movement over a closed path does no work. The Wikipedia article said that the magnetic field met that criteria for a point charge. Now instead of a point charge make the test particle a magnetic dipole. Here the force on the dipole IS given by the magnitude of the field and there is no hysteresis. So I would say a magnetic field is conservative with respect to magnetic dipoles.

In a force field the value of the field at any location in space determines the magnitude and direction of the force a test particle will experience. That is not true for a point charge in a magnetic field. The force experienced by a point charge depends not just on its charge and location, but also how fast it is moving and in what direction. So the magnetic field isn't a force field and the definition of conservative in the Wikipedia article does not apply. So in this case we need to define conservative for ourselves. What do we want conservative to mean? For me the most meaningful definition is the idea that movement over a closed path does no work. The Wikipedia article said that the magnetic field met that criteria for a point charge. Now instead of a point charge make the test particle a magnetic dipole. Here the force on the dipole IS given by the magnitude of the field and there is no hysteresis. So I would say a magnetic field is conservative with respect to magnetic dipoles.Source https://www.physicsforums.com/threads/is-the-magnetic-field-conservative-or-nonconservative.894984/

Answer 2

$\huge\mathfrak\purple{Hola\: Mate!!!}$

HeRe uhh Go______☺️

Magnetic field is neither conservative nor non-Conservative. magnetic field lines do go in closed paths but that's not the definition of conservative. Rather, a field is conservative then the force on a test particle moving around any closed path does no net work

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Hope that will help uhh out^_^

#Meera❤️