Find currents in different branches of the electric circuit shown in figure.

Find currents in different branches of th electric circuit shown in figure. How to Proceed : In this problem there are three wires EFAB, BE and BCDE . Therefore, we have three unknown currents i_1, i_2 and i_3 . So, we require three equations. One equation will be obtained by applying Kirchhoff's junction law (either at B or at E ) and the remainig two equations, we get from te second law (loop law). We can make three loops ABEFA, ACDF and BCDEB . But we have to chose any two of them. Initilly, we can choose any arbitrary directions of i_1, i_2 and i_3 .

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