Elements of the Mathematical Theory of Electricity And Magnetism
Elements of the Mathematical Theory of Electricity And Magnetism
J J Joseph John Thomson
The book Elements of the Mathematical Theory of Electricity And Magnetism was written by author J J Joseph John Thomson Here you can read free online of Elements of the Mathematical Theory of Electricity And Magnetism book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Elements of the Mathematical Theory of Electricity And Magnetism a good or bad book?
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If the body at P is a small sphere of radius b, then since the elec- tric energy is equal to JS^F, it is in this case 1 (e ea 1 2 e \b~JPQ a or - n* 87, To find the surface density at a point S on the surface of the sphere, we must find the electric intensity along the normal. 88] ELECTRICAL IMAGES AND INVERSION 113 The electric intensity at S due to the charge e at P can by the triangle of forces be resolved into the two components e OS . () pa pg alon g ^ (ft) ~~ parallel to PO, while the ele...ctric intensity at S due to the charge ea/f at Q can be resolved into the components ea 1 OS (S) -^ parallel to PO. Hence the components of the resultant intensity are a + y along the normal OS, and j8 + 8 parallel to PO. Now the resultant intensity is along the normal, so that the component /? + 8 must vanish, and the resultant intensity along the normal is equal to a -h y, i. E. To JL _ a JLI PS 3 fQS*] e. OS e. OS or to ~~PQ3~ Since PS/QS is constant, the quantity inside the brackets is constant.
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