John_RB said:
I hesitate to ask this but what are electric and magnetic fields? We are told that the electromagnetic force is carried by the photon (which consists of oscillating electric and magnetic fields) but the photon does not cause (?) or interact with external magnetic and electic fields. Presumably quantum mechanics will make things crystal clear! Incidentally isn't the prediction of the existence of electro-magnetic waves by Maxwell one of the most amazing in the history of science – coupled with the calculation of the speed of these postulated waves.
Charged particles exert forces upon one another. Fields are a mathematical construct that enable us to predict the effects of such forces.
Let's look at gravity for a moment. The amazing thing about that is that Newton's laws predict as accurately as they do, even though they are based on the false assumption that the forces are communicated instantly. Electromagnetism is the same way: assume that the force is instantaneous and you may get a pretty good result, though not as good as with gravity. The correction in the result is called the "magnetic field." Gravity has a correction like that too called the gravitomagnetic field, but it is so weak it is not of practical significance here on Earth.
It is often useful to mentally split the energy of the charge attraction into electric and magnetic fields. This is partially of historical significance: magnets and electricity were discovered separately. It is useful in designing motors and so forth. The concept is that magnetic force depends on how the affected particle is moving, while the electric force doesn't. (Or at least, not so obviously.)
Photons are for people who don't like fields. Fields are for people who don't like photons. Take your choice. Physicists discuss this endlessly. My advice is don't worry about it.
Photons can be affected by magnetic fields, but only in a medium, not in a vacuum.
Yes, Maxwell's work is most impressive.