A charged particle is moving along a magnetic field line. What is the magnetic force acting on the particle?…
A charged particle is moving along a magnetic field line. What is the magnetic force acting on the particle? $\left(\sin 0^{\circ}=0, \sin \frac{\pi}{2}=1\right)$
Opposite to its velocity.
Perpendicular to its velocity.
Zero.
Along its velocity.
Solution
Magnetic force is given by, $\mathrm{F}=\mathrm{qvB} \sin \theta$ Where $\theta$ is the angle between the velocity vector of the charged particle and the direction of the magnetic field.
Since charged particle is moving along a magnetic field line $\theta=0^{\circ}$.
If $\theta=0^{\circ}$, then $F=0$
$\ldots\left(\because \sin 0^{\circ}=0\right)$
.