Question

In an inertial frame of reference, the magnetic force on a moving charged particle is $F$. Its value in another inertial frame of reference will be,

• A. remained same
• B. changed due to a change in the amount of charge
• C. changed due to change in velocity of charged particles
• D. changed due to change in field direction

Answer 1

The correct option is C

changed due to change in velocity of charged particles

Inertial frame

1. Inertial reference frames can be defined as the reference frame at which we can apply Newton's laws of motion. If no external force is applied a body at rest will remain at rest and a body in constant motion will remain in constant motion.
2. Inertial reference frames are either stationary or moving at a constant speed.
3. The magnetic force on a moving charged particle in an inertial frame of reference is F. Because of the change in velocity of the charged particle, its value in another inertial frame of reference will change.
4. An example of an inertial references frame is a train moving with constant velocity.
5. The given formula shows that the magnetic force is velocity-dependent, it varies from one inertial frame to the next.

$$\begin{gathered} \overrightarrow{F}=q(\overrightarrow{v}\times \overrightarrow{B}) \\ \overrightarrow{F}=qvB\sin \theta \end{gathered}$$

Hence, In an inertial frame of reference, the magnetic force on a moving charged particle is $F$. Its value in another inertial frame of reference will be, changed due to a change in the velocity of charged particles

Hence, option c is correct.