Problem 55-18    Source:   Example 10.9 - page 396 -    IRWIN, J. David - Book: Circuit Analysis in Engineering - Ed. Pearson Education do Brasil - 4th edition - 2013.

Determine the voltage V_o in the circuit shown in Figure 55-18.1, using the Kirchhoff method.

Solution of the problem by Thevenin Method   click here!

Solution of the problem 55-18    -    Method Kirchhoff

From the circuit we can take three relations, known as constraint equations, or:

Now we can write the equations of LKT for mesh 1 and mesh 4, or

Substituting the constraint equations into this last equation, we find:

But, we know that I_x = I₄ - 4∠0°, so:

Solving this equation, we find

So the result for I₄ is:

And from the circuit we have the relation: