where the constant c means the ratio between the electro-magnet and the electrostatic unit of electricity.
From these equations we can deduce:
(α) For the interior of a body, the equations
| ∂Hz | − | ∂Hy | = | 1 | Cx, | ∂Hx | − | ∂Hz | = | 1 | Cy, | ∂Hy | − | ∂Hx | = | 1 | Cz |
| ∂y | ∂z | c | ∂z | ∂x | c | ∂x | ∂y | c |
(12)
| ∂Ez | − | ∂Ey | = − | 1 | ∂Bz | , | ∂Ex | − | ∂Ez | = − | 1 | ∂By | , | ∂Ey | − | ∂Ex | = − | 1 | ∂Bz | ; | |||
| ∂y | ∂z | c | ∂t | ∂z | ∂x | c | ∂t | ∂x | ∂y | c | ∂t |
(13)
(ß) For a surface of separation, the continuity of the tangential components of E and H;
(γ) The solenoidal distribution of C and B, and in a dielectric that of D. A solenoidal distribution of a vector is one corresponding to that of the velocity in an incompressible fluid. It involves the continuity, at a surface, of the normal component of the vector.
(b) The relation between the electric force and the dielectric displacement is expressed by