In a uniform perpendicular magnetic field , force on charged particle cause change in direction of momentum. How do we explain it using conservation of momentum?
I don't know what is Hamilton or canonical or something like that.
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9$\begingroup$ Possible duplicate of How is momentum conserved when a magnet attracts a metal? or Is the canonical momentum conserved when a particle moves in magnetic field? $\endgroup$– AccidentalFourierTransformCommented Mar 4, 2016 at 18:45
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$\begingroup$ @AccidentalFourierTransform First question couldn't answer my question and second question I couldn't understand. $\endgroup$– Anubhav GoelCommented Mar 4, 2016 at 18:52
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1$\begingroup$ The second linked answer is saying the following: kinetic momentum (like the Newtonian $p=mv$) is not conserved in a magnetic field. However, there is a generalization of momentum that is conserved. This generalization (which does not have a simple name that I know of, unfortunately) is found by the appropriate generalization of the law of conservation of momentum, which comes from translational invariance of the system and Noether's theorem. $\endgroup$– RococoCommented Mar 4, 2016 at 21:18
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1$\begingroup$ You explain it by measuring the movement of the apparatus that causes the magnetic field. :-) $\endgroup$– CuriousOneCommented Mar 4, 2016 at 21:33
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$\begingroup$ @CuriousOne Thankyou !!! It really and clearly solved it. Just one thing more, if charge moves in circular motion will apparatus also move in circle? $\endgroup$– Anubhav GoelCommented Mar 5, 2016 at 9:07
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Electromagnetic field itself can be ascribed momentum in such a way that momentum is locally conserved (i.e. momentum of a space region changes continuously and its rate of change can be expressed as a surface integral of certain field function).
answered Mar 4, 2016 at 21:27