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

Options

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

Explanation

To solve the question regarding the magnetic force on a moving charged particle in different inertial frames of reference, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Magnetic Force**: The magnetic force \( F \) on a charged particle moving with velocity \( \mathbf{V} \) in a magnetic field \( \mathbf{B} \) is given by the equation:
\[ \mathbf{F} = q (\mathbf{V} \times \mathbf{B}) \]
where \( q \) is the charge of the particle.

2. **Effect of Frame of Reference**: In different inertial frames of reference, the velocity of the charged particle will change due to the relative motion between the frames. The magnetic field \( \mathbf{B} \) may also change depending on the motion of the observer.

3. **Velocity Transformation**: When switching from one inertial frame to another, the velocity of the charged particle will be different. If the particle moves with velocity \( \mathbf{V}' \) in the new frame, the magnetic force will be recalculated using this new velocity:
\[ \mathbf{F}' = q (\mathbf{V}' \times \mathbf{B}') \]
Here, \( \mathbf{B}' \) may also differ based on the transformation of the magnetic field between frames.

4. **Conclusion**: Since the magnetic force depends on the velocity of the charged particle, and this velocity changes when moving to another inertial frame, the magnetic force \( F' \) in the new frame will also change. Therefore, the correct answer to the question is that the magnetic force will change due to the change in the velocity of the charged particle.

### Final Answer:
The value of the magnetic force \( F \) in another inertial frame of reference will change due to the change in the velocity of the charged particle.