AC analysis - Average Power, Conservation of Power

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jegues

Joined Sep 13, 2010
733
See figure attached for problem statement as well as my work.

I found the currents \(i_{1},i_{2}\) then I calculated the average power of each element.

It says to investigate the conservation of power.

Now I have the source delivering 500W of average power and the elements dissapating 400W of average power.

Am I suppose to be able to conclude that the average power supplied and the average power dissipated is the same? If so, where did I make my mistake? What am I misunderstanding?

The formula I used to solve the average power was,

\(P_{n} = \frac{I_{m}^{2}}{2} \cdot Re(Z)\)

EDIT: I found my mistake, for the source I'm suppose to take the equvalent impeadance at the terminals of the source for the calculation of the average power.
 

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