Find the first integrals of motion for a particle of mass m and charge q in a magnetic field given by the vector potential (scalar potential [tex]\Phi[/tex]= 0)(adsbygoogle = window.adsbygoogle || []).push({});

(i) of a constant magnetic dipole [tex]m_{d}[/tex]

[tex]A=\frac{\mu_{0}}{4 pi}\frac{m_{d} \times r}{r^{3}}[/tex]

Hint: Cylindrical coordinates are useful.

I think what i should do is to compute A for cylindrical coordinate system and then use Lagrangian mechanics to get a equation of motion? Is this correct? (we have the charge q given, so we can use the kinetic engergy?)

I tried to compute A but i dont really understand what to do with the magnetic dipole (as a vector)? Whats the story whith that scalar potential?

Thanks for your help,

Mumba

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# Homework Help: Motion of charged particle in magnitc field given by potential of magnetic dipole

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