The Lorentz force is always perpendicular to the motion of the charges. No escape from that. This particular problem where it looks like the magnetic force has done the work, is explained beautifully and in detail in Griffiths, "Introduction to Electrodynamics". As an analogy, Griffiths also points out a similar problem in elementary mechanics.rumborak said:
@Chandra Prayaga is referring to this, which pretty much agrees with what you said in #2.rumborak said:
Work done by magnetic force refers to the amount of energy transferred or expended when a magnetic field acts on a moving charge or a current-carrying wire.
The work done by magnetic force is calculated by multiplying the magnitude of the magnetic force by the displacement of the object in the direction of the force.
The unit of measurement for work done by magnetic force is joules (J).
The direction of motion is perpendicular to the direction of the magnetic force, so the work done is always zero. This is because the magnetic force only acts on charges or currents moving perpendicular to the field.
The work done by magnetic force plays a crucial role in many practical applications, such as motors, generators, and transformers. It is also essential in understanding the behavior and interactions of charged particles in magnetic fields.