Question

The magnetic force depends on $\overrightarrow{v}$ which depends on the inertial frame of reference. Does then the magnetic force differ from inertial frame to frame? Is it reasonable that the net acceleration has a different value in different frames of reference?

Answer 1

Magnetic force is given by

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

As we know velocity depends on frame of reference. Therefore, magnetic force also depends on frame, and it will be differed from inertial frame to frame.

But Net acceleration arising from this is however frame independent (non - relativistic physics) for inertial frames.

$\text{Final answer}:$ Yes; No