Problem 17-1    Source:   Problem created by the site's authors.

In the circuit shown in Figure 17-01.1, using the Linearity theorem calculate the current i₃.

Solution of the Problem 17-1

To use the Linearity theorem we must provide a numerical value for the current i₃. Let us then make i₃ = 1 A. This way, we can calculate the value of e₁, or:

With the value of e₁ it is possible to calculate the value of the current i₂, that is:

Knowing the values of i₂ and i₃ we can calculate the value of i₁ , because:

And now we can calculate the value of the voltage source that generates i₃ = 1 A.

At this point the question to ask is: if a voltage source of 50 V generates a current i₃ = 1 A, what will be the current value i₃ when the voltage source has its value changed to 60 V? Just use a simple rule of three, or: