Question

Can a charged particle move through a magnetic field without experiencing any force? If so, how? If not, why not?

Short answer

Yes, a charged particle can move through a magnetic field without experiencing any force

Step-by-step solution

Magnetic field

Magnetic field is the region around a magnet or an electro magnet or a moving electric charge within which the forces of magnetism acts upon. It has both magnitude and direction

Forces acting on the particle will be zero

We know that the magnetic forces on a particle of charge q which is moving with a velocity v is given by:

$F=q\overrightarrow{v}\times \overrightarrow{B}$

$=qvB\sin \theta$,

where,$\theta$is the angle between$\overrightarrow{v}$ and$\overrightarrow{B}$.

Hence if the particle is moving parallel or anti parallel to the direction of the magnetic field then the magnetic force acting on the particle will be zero.