Magnetically coupled inductors an AC circuits

[iceman_ch]

Homework Statement

I've actually uploaded the question.

When solving problems with magnetically coupled inductors I like to add dependent sources so that I can keep everything straight. My question is when I add the dependent sources does there need to be a specific polarity to them. With the way that AC works I would think that it doesn't matter what polarity you assign them because in the end the angle is what determines the poliarity. I could make it so that when I do the mesh the sources come out positive. Is this the best way to solve this problem or is there another way.

Thanks

 

[The Electrician]

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[Mene]

I would say that there is no specific polarity required for the dependent sources in magnetically coupled inductors in AC circuits. The important factor is the angle, as you mentioned. The polarity of the dependent sources may impact the direction of current flow in the circuit, but it ultimately depends on the specific problem and how you choose to solve it. Adding dependent sources can be a helpful tool in keeping track of the circuit variables, but it is not the only way to solve the problem. There may be other methods or approaches that could also be effective. It is important to carefully analyze the problem and choose the most appropriate approach for solving it.