Circuit Analysis with Transformer

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Robert.Adams

Joined Feb 16, 2010
112
I have been working on the attached circuit and I still differ quite a bit from the answer found on the key.

My method has been to simplify the load on the right side of the transformer (simplifies to 27.561 + 8.04878j) and then reduce it to account for the transformer (1/9th of the value comes to 3.06233 + 0.894309j).

From here I add in the 50 ohm resistor and come to a total load resistance of 53.0623 + 0.894309j.

Dividing this into the voltage source should yield I1. This comes out to be .16475 + .0914521j A. (188.4mA at 29.03 degrees polar).

The key says the answer should be 175.7mA at 27.9 degrees. Where did I go wrong?
 

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