Alternating Currents: An Analytical And Graphical Treatment for Students And Engineers

Cover Alternating Currents: An Analytical And Graphical Treatment for Students And Engineers
Alternating Currents: An Analytical And Graphical Treatment for Students And Engineers
Frederick Bedell
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F., E^ between the terminals Jf and N\ * See ** The Measurement of the Power given by any Electric Current to any Circuit :" Prof. Ayrton and Dr. Sumpner ; Proc, Boy. Soe., Vol.
XLIX., 1891, p. 424.
234 CIRCUITS CONTAINING it is required to find the main current, /, and the currents y, and /, in the branches.
Fig. 56 shows how to find graphically the main and branch currents when the impressed E. M. F. and the resis- tance and self-induction of each branch are given.
Fig. 66.— Problem IV.
Since
... the impressed £. M. F. at the terminals of each branch is known, each may be separately treated as a simple circuit containing resistance and self-induction by the method previously given in Fig. 50.
Draw A equal to the impressed E. M. F., JK Make the angle A OB =^i= tan"* -^ in the negative direction such that it is an angle of lag. Then the right triangle OB A is the triangle of E. M. F.'s for the first branch, B is the E. M. F. necessary to overcome resistance, and B A that necessary to overcome the self-induction.


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