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The mathematical theory of electricity and magnetism (1911)

Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 448

An illustration from The mathematical theory of electricity and magnetism, 1911, leaf 448
pace. From equations (420) it follows that the magnetic force at P may beregarded as made up of contributions from each element of the circuit suchthat the contribution from the element ds at 0 has components 496-498] Mechanical Action 439 On putting r = (x — xf + {y — y)- + {z — z), and… … cosines of the line OP, and let -j-, -,—, -7- ds ds ds be denoted by I2, w.,, Wa, these being thedirection-cosines of ds. Then the com-ponents of force (421) become X (tS , V t its , J y V —^ (Wi7i2 - wioWi), -- {rhl^ - n.Ji), ^{km,-km,)...m2). Clearly the resultant is a force at right angles both…

Electricity · Magnetism

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