V.4 No 1

89

Study of electromotive force induced by heterogeneous magnetic field

Conclusions

Having conducted the above theoretical and experimental study, we established the following:

- Faraday differential formulation and Maxwell integral formulation of induction are not identical. Faraday formulation is both mathematically and phenomenologically true for any type of magnetic field and any motion of a wire in this field, while Maxwell formulation remains true only mathematically and only in case of closed loop with movable side;

- as the domain where the Maxwell definition is true is limited, it bans the use of this phenomenology of induction as an analogy in transition from movable wire in permanent magnetic field to stationary wire in time-variable magnetic field.

These theoretical conclusions have been checked experimentally. We developed the set to measure the emf in the loop, whose location and area were changed in the inhomogeneous magnetic field. With it we indicated that with growing area and quantity of force lines crossing the loop, the emf in the loop felt. This fully corresponds to the Faraday's formulation of the induction law, and this is opposite to Maxwell's interpretation.

The experiments also show that when we brought the tapping wires of secondary loop away from the core, the emf is not induced in them, which fully proves legal the use of single probe to measure emf in a local variable magnetic field.

References:

1. Karavashkin, S.B. and Karavashkina, O.N. Several experiments studying dynamic magnetic field. SELF Transactions, 3 (2003), 1, p. 72- 90

2. Schtrauff, E.A. The course of physics, vol. 2. Sudpromgiz, Leningrad, 1962

3. Corn, G.A. and Korn, T.M. Mathematical handbook for scientists and engineers. McGraw-hill book company inc., New Yokr- Toronto- London, 1961