Problem 13-14    Source:  Problem created by the site's authors.

For the circuit shown in Figure 13-14.1, using Kirchhoff's law and Ohm's law, determine:

a) The values ​​of the currents I₁ and I₂.

b) The voltage V_ab.

Solution of the Problem 13-14   -    Kirchhoff's Method

Item a

We can determine the value of I₁ by meshing the left side of the circuit. In this way, we find:

And by making the mesh on the right side of the circuit we can calculate the current I₂, or:

Item b

To calculate the value of V_ab we must look at the mesh as shown below.

Then, we must calculate the voltages of the branches described above.

Replacing with the respective numerical values, we find:

Carrying out the calculation, we have: