Problem: For the AC network shown below, determine the current in branch A-B both in polar and rectangular coordinates by using Thevenin’s Theorem.

Solution:

According to Thevenin’s Theorem, we must build an equivalent scheme:

**where R****L**** = R****3**

We must divide our initial scheme into two different schemes: internal (between points A and B) and external (beyond points A and B).

The equivalent resistance:

The equivalent voltage:

In respect of Kirchhoff’s first law:

According to the equivalent scheme, the current value will be as follows.

In polar coordinates:

In rectangular coordinates:

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