a. Let there be a stationary charge and a magnetic field that does not act on this charge. When driving from this state, the charge will move at the speed of βc at a speed of βc. The force acting on the charge in the new state is zero due to the fact that in addition to the magnetic field, the electric field that occurs during demolition acts on the charge. Determine, using the condition of equilibrium of forces acting on the charge, the connection in the new state of induction of the magnetic field B with the electric strength E.
b. What electric field occurs when a magnetic field with induction B moves at a speed βc, if β≪ 1?
c. The figure shows a permanent magnet with magnetic induction B, moving as it claims experimenter 1 passed by it with the velocity βc, because he discovered from the action on charge q an electric field of intensity E = -[β×B], which should occur in a moving magnet. However, experimenter 2, sitting on a magnet, claims that this magnet has no electric field and is stationary. The force acting on the charge q is not related to the electric field, but to the magnetic field. "Experimenter 1," states experimenter 2, " together with its charge moves in a magnetic field with induction B at a speed of -βc Therefore, the force acting on the charge is not from the electric field of intensity E = -[β×B], but from the magnetic field of induction B". Which of them is right?
329
*) The motion of a state with velocity βc is a new state that coincides with the original state in a reference frame moving with velocity βc relative to the original reference frame.