Mutual Inductance: Understanding J2X2

[salman213]

1.I don't understand where the J2X2 comes from. Everything else seems fine but why is there a J2x2 CHECK ATTACHED PICTURE



THANK YOU

 

[Jwill]

Maybe post the picture somewhere else or explain.

 

[salman213]

well basically I am trying to do mesh analysis to calculate the mesh currents in that picture...

umm...those are the two equations that the book shows. I understand where all the terms in the first mesh equation come from, but I am confused about where j2x2 comes from in the 2nd mesh equationAnyone
know?

 

[The Electrician]

What you have is j2 occurring twice.

The first one is caused by current I2 in inductor j6; that causes a voltage of I2*j2 to be induced in the j8 inductor.

Then, the I2 current in inductor j8 also causes a voltage of I2*j2 to be induced in inductor j6.

When you have two coupled inductors in series in a loop, such as the I2 loop, the current in each inductor causes a voltage drop in that same inductor, but it also causes a voltage drop in the other inductor.

 

[salman213]

Thanks makes sense :)