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An example of a solution of a problem by the method of Kirchhoff's Laws

The task:

1. Write the system of equations for determining unknown currents and emf according to Kirchhoff's laws. In all branches.

2. Determine unknown currents and emf. In all branches by the method of contour currents and by the method of nodal potentials.

3.Conform the power balance.

4. Determine the voltage measured by the voltmeters.

5. The method of an equivalent source is to find the magnitude and direction of the emf, which must be additionally included in the second branch (where r2 and E2), so that the current in it increases twofold and changes its direction.

6. Determine the input conductance of the second branch and the mutual conductivity of the branches of the second and third branches (where r2 and E2).

7. Find the equations expressing the dependence of the current in the third branch on the resistance of the second branch with unchanged emf. Circuit and the unchanging current of the source flowing to it.

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