The mathematical theory of electricity and magnetism (1911)
Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 166
7 where iip, Uq, Ur,... are the values of ii at P, Q, R, Also, since the pro-jection of each of the areas dSp, dS^^,... on the plane of ijz is dydz, we have dydz = IpdSp = — l^dS^ = IjidSn = ..., where Ip, l^j, Ir,... are the values of I at P, Q, R,.... The signs in front of^p> ^y) ^R,--- are… … Fig. 53. Thus r7^dydz \^ dx= dydz{—Up-\-Uq — UR-\r-..) = — IpUpdSp — If^u^dSQ — iRURdSji — (95) and on adding the similar equations obtained for all the prisms we obtain m dxdydz = — S I / ludS the terms on the right-hand sides of equations of the type (95) combining soas exactly to give the term…
Electricity · Magnetism
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