There is a point charge inside a neutral conducting shell. My understanding is that when we move the charge from point K to L along the path, we experience no force since the electric field inside due to the sphere is zero. I have a couple of questions regarding this system.
1) Is my understanding that the electric field due to the shell is zero inside correct? If the answer is a yes, then..
2) If we moved the charge really fast along the path, would there still be no field due to shell only?
3) When we are moving the charge, there must be a redistribution of charges on the conducting shell. Does that mean the electrostatic self energy of the shell change? If it changes, how come it is so, when we are doing no work on the charge inside? (Again constant speed)
4) While the redistribution of charges is in progress, do the electrons gain extra kinetic energy cause they are changing their positions around the sphere? And where does this energy come from in terms of energy conservation?