Recently I started studying Magnetics and I came across a statement in my book which confused me.It read:
Magnetic force is frame dependent, Electric force is frame dependent but lorentz force is frame independent
I can understand magnetic force being frame dependent as it is a velocity dependent force and velocity depends on the frame from which it is measured.However, I can't understand why electric force is frame dependent.Does frame dependent here mean that in a non inertial frame of reference or a moving inertial frame, the electric force becomes magnetic force as charge which is at rest moves with respect to this frame?
Also, Lorentz force being frame independent makes me think that some components that arise due to shifting frame of reference, cancel each other out making the resultant lorentz force same.However, I am not able to get the complete picture.
Can anyone give me the reason for this without using complex mathematics/theory of relativity? What's the intuition behind this?