By K. J. Binns

ISBN-10: 0080166385

ISBN-13: 9780080166384

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94) may be rewritten Hence, differentiating eqn. 104) which is seen to be identical with eqn. 41). 105) which is identical with eqn. 101). Therefore the complex potential functions for the fields of a line charge and a line current can be expressed by identical functions, for the fields of a line charge and a line current vary in identical ways, but with the flux and potential functions interchanged. 5. Equivalent pole and charge distributions For a number of purposes—in particular the calculation of forces on boundaries (see the next section) and the derivation of image solutions (see Chapter 3)—it is best to consider the effect of a boundary as being due simply the charges, poles, or currents which lie along 31 BASIC FIELD THEORY the boundary line.

Phys. 4 , 1 9 3 ( 1 9 5 3 ) . 2. E. BILLIG, The calculation of the magnetic field of rectangular conductors in a closed slot and its application to the reactance of transformer windings, Proc. Instn. Elect. Engrs. 3. C . J. CARPENTER, Surface-integral methods of calculating forces in magnetized iron parts, Proc. Instn. Elect. Engrs. 107 C , 1 9 ( 1 9 6 0 ) . 4 . G . W . CARTER, Distribution of mechanical forces in magnetized material, Proc. Instn. Elect. Engrs. 112, 1771 (1965). 5. P . HAMMOND, Forces in electric and magnetic fields, Bull.

J. CARPENTER, Surface-integral methods of calculating forces in magnetized iron parts, Proc. Instn. Elect. Engrs. 107 C , 1 9 ( 1 9 6 0 ) . 4 . G . W . CARTER, Distribution of mechanical forces in magnetized material, Proc. Instn. Elect. Engrs. 112, 1771 (1965). 5. P . HAMMOND, Forces in electric and magnetic fields, Bull. Elect. Engng. Educ. 2 5 , 1 7 ( 1 9 6 0 ) . 1. Introduction The method of images can be used to give solutions to some important problems involving straight-line or circular boundaries and in a particularly simple manner; for it offers certain ready-made solutions which eliminate the need for formal solutions of Laplace's and Poisson's equations.

### Analysis and Computation of Electric and Magnetic Field Problems by K. J. Binns

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