Engineering How do I solve this circuit with Laplace transforms?

AI Thread Summary
To solve the circuit using Laplace transforms, it's essential to establish the KVL equations, particularly considering the mutual inductance. The mutual inductance can be represented as dependent voltage sources in series with the coupled inductors. When current flows into the dot of one inductor, it induces a voltage on the coupled inductor, leading to current flowing out of its dot, calculated as I*M, where M is the mutual inductance. Providing an initial attempt at the equations will facilitate more targeted assistance. Understanding these principles is crucial for effectively applying Laplace transforms in circuit analysis.
jean28
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jean28 said:
I have this circuit which I need to solve using Laplace transforms. How would the KVL equations look? I am having trouble with them because of the mutual inductance. Thanks

http://i1226.photobucket.com/albums/ee410/jean28x/CircuitMutual.jpg

Can you provide an attempt? We won't know how to help unless we can see your attempt.

However, in general the mutual inductance will be modeled as dependent voltage sources in series with each mutually coupled inductor.

Current "flowing into" the dot on one inductor causes a voltage to appear on the coupled inductor which will cause current to "flow out" of its dot. The magnitude of the voltage is given by I*M, where M is the mutual inductance value and I is the current flowing INTO the dot on the other inductor.
 
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