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Why is the speed of an electron constant in constant magnetic field?
I had known for long time that the magnetic Lorentz force $F= q \cdot (B \times v)$ acts on an electron so as to make it circle with this speed ($v$).
Recently I tried to imagine how this happens and ...
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How can magnetic field change direction, do not changing the velocity of particle?
I know that electron has spin and momentum. Momentum is $vm$ and $v $ is $\dfrac {dx,y,z}{dt} $. So how it could be possible to affect the particle the way it will change only direction, instead of ...