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Magnetism
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Magnetic field is neither conservative nor non-conservative.
Conservative or non-conservative nature of a field is defined if scalar potential is defined for the field.
The potential defined for magnetic field is a vctor potential.
Rate if correct.
For a definition of scalar potential, check the answer given by me at http://www.goiit.com/posts/list/electricity-whatis-meant-by-potential-83716.htm
It would be great if I could get a mathematical explanation of this, as far as I understand Electric and magnetic field both as different aspects of same entity . It actually the observer who decides if its a magnetic or Electric field so If electric field can be conservative why cant magnetic field be ? ( Well just a precaution It could have been a easier case had there been a magnetic monpole existing )
sorry dear........
i consulted more about it .
magnetic field is conservative in nature as one may write it a gradient of a scalar field, the potential field,except in case of monopole moved in a closed path carring current in awire,there is non zzero work done,this non conservative field. and also a induced electric field is alos non conservative in nature
above is of uniform magnetic field but in case of non uniform magnetic field varrying with time is also a conservative in nature
magnetic field is non conservative....
the reason is - if you use a magnet to convert a iron rod into magnet, its free electrons will arrange themselves in same dir.
and even after you put away the magnetic field... you would come to know that your iron rod is now behaving like a magnet.
while if magnetic field would have been consrvative you could use your iron rod like an iron rod (without poles)















non conservative