0

Lorentz force is not experienced when the current flows parallel to the magnetic field. Now, can someone explain me the reason to this? I can't understand this.

Mathejunior
  • 185

1 Answers1

1

A current is simply moving (with velocity $v$) electrons (with charge $q$), so we apply the following equation for the lorentz force: $$\vec{F}=q \vec{E}+q \vec{v} \times \vec{B}.$$

In the absence of an electric field, we thus have $$\vec{F}=q \vec{v} \times \vec{B}.$$

For two parallel vectors, $\vec{v}$ and $\vec{B}$, the cross product vanishes, so $F=0$.

Carucel
  • 334