Physics · mechanics · thermodynamics · heat transfer
Problem
When charges accelerate, eddy electric fields arise, the intensity of which, if radiation is ignored, is proportional to the acceleration. Therefore, the force F = m a acts on the charge moving with acceleration a from these electric em fields. The proportionality coefficient m can be called the electromagnetic em mass of the charge.
a. How many times is the electromagnetic mass of the conduction electron in a long solenoid of radius 0.1 m with the number of turns per unit length of the solenoid 10³ m⁻¹ greater than the mass of the free electron? The wire cross-section of the solenoid is 1 mm², the number of conduction electrons per unit volume of the solenoid material is 10²³ cm⁻³.
b. What parameters should the solenoid have so that the electromagnetic mass of an electron in it is equal to the mass of a free electron? The number of conduction electrons per unit volume of the solenoid material is 10²³ cm⁻³.