6.1.3 Effect of a Magnetic Field on Atomic Orbits

6.1.3 of Griffith's Introduction to Electrodynamics 2nd Ed
Analyzing the effect of magentic fields on electron orbitals.
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[@hershyfishman2929]

8:56 In case anyone's confused: (v' + v)Δv = (2v +Δv)Δv = 2vΔv + (Δv)^2. For small Δv, we can ignore the 2nd order term.

[@mwaqar2182]

Thanks

[@Godakuri]

I feel like this section from Griffiths was very poorly done. He had lots of skipped algebra, which isn't hard algebra, but essential to the intuition. I had trouble understanding some of the books reasoning. You cleared it up, thanks

[@allrounder2367]

You are a wonderful teacher but please explain more.

[@lalalanding234]

lol
explanation is never enough!!

[@HaiderAli-hp6tl]

dude u are amazing u have made things so easy for me

[@yagmurerhan8132]

How is this concordant with the fact that magnetic fields do not do work and hence cause charges to accelerate/ slow down? Thanks

[@yuriynr]

I just quite don't fully understand the concept of alignment of magnetic moments. Do the atoms in a molecule "move" away from each other when under influence of a magnetic field (for example, the atoms of a iron chunk when near a permanent magnet)? Or is it just a rotation of electron orbitals? Sorry for the non-academic terms :)

[@mewithmarker1818]

You are my life saviour thank you for my grades in electrodynamics 1 now it's turn for part 2

[@aghileswaranvs5202]

..this helps me too.. I got real idea about this topic .thank you

[@lalalanding234]

but how is centripetal force equal to the force between the electron and proton?

[@ayenihao3629]

Hi~!! I'm a high school student who want to major in physics. I'm currently researching about a phenomenon called magnetic train, and I could build my own theoretical model by treating a cylindrical magnet as a magnetic dipole. I treated the dipole as a 'pure' dipole, not physical dipole. And I want to prove the reason why I can treat the magnet as pure dipole rather than physical one..... But I don't really get the difference between the forces each of them get in magnetic field.... T.T can you help me??

[@Jcknight7996]

Does the magnetic field determine or influence the amount of force that holds an electron in orbit?

[@lalalanding234]

maybe as the velocity will increase or decrease, the energy also might be affected WRT velocity? as KE = 1/2m(v^2)? hence KE is proportional to the square of velocity as m will be constant.

[@rudyd8403]

This deivation assumes, unjustifiably, that the radius stays the same with & without the addition of the B field. In reality a continuum of delta v and delta r is possible. I believe that the actual final v and r depend on how the B field is added to the electrostatically orbiting electron. But it is possible to wind up with delta r = 0, or delta v = 0, or a continuum of v and r.
cf. file.scirp.org/Html/1-7500240_3761.htm

[@dildarali3096]

Sir thnk u so much

[@mr.h2018]

The magnetic force pull in the electron. And that makes the radius of electron orbit getting smaller. The dipole moment of the electron (- evr/2) will become larger when the radius r shrink. And I get a totally different conclusion. How to explain it ?

[@sirr3d488]

+Mr.H The radius from the electron is fixed. And it is also quantized into shells.

[@rudyd8403]

See my post.
rudy d.

[@rudyd8403]

That enters into quantum mechanics which obviates the simple atomic picture depicted in the presentation. But at least it's an argument of sorts for keeping r fixed.

[@farzanaafzal5726]

Good

[@atulabhishektoppo4623]

Thanks for the help iwas stcuck at v dash