The Philosophical magazine; a journal of theoretical, experimental and applied physics . clic symbol of each neighbouring cyclemultiplied respectively by the common bounding resistanceas coefficient, and equating this result to the effective electro-motive force acting in the cycle, written as positive or nega-tive according as it acts with or against the imaginary currentin the cycle. This is Maxwells rule. Since there are k cycles or meshes we can in this way form/?; independent equations, and by the solution of these deter-mine the k independent variables, a;, y, z, &c. The value ofthe curr
The Philosophical magazine; a journal of theoretical, experimental and applied physics . clic symbol of each neighbouring cyclemultiplied respectively by the common bounding resistanceas coefficient, and equating this result to the effective electro-motive force acting in the cycle, written as positive or nega-tive according as it acts with or against the imaginary currentin the cycle. This is Maxwells rule. Since there are k cycles or meshes we can in this way form/?; independent equations, and by the solution of these deter-mine the k independent variables, a;, y, z, &c. The value ofthe current in any branch is then obtained by simply takingthe difference of these variables belonging to the adjacentmeshes, of which the conductor or bjanch considered is thecommon boundary. § 3. Let us now consider the most general case possible, inwhich we have a network composed of linear conductors suf-ficiently far apart to have no sensible mutual induction, andlet there be electromotive forces acting in each branch or r. Fie-, I ^?- _ \ ? /, I )3 H e e !?• If I-ig . ejG Phil. Mag S. 5. 7^ ---.„ \3 /^ c / 1 D D
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