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Write Mesh Equation of Coupled networks

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Hello
here is a problem that book writer solved it.i want to know why he put -mjwI3 in the equation 2 and we can't see it on other equation with negative sign?


when we should put negative or positive sign for Coupled networks ?
 

Baby,

here is a problem that book writer solved it.i want to know why he put -mjwI3 in the equation 2 and we can't see it on other equation with negative sign?

when we should put negative or positive sign for Coupled networks ?
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Are you aware of the sensing dots on L1 and L2? They tell you whether the inductance is coupled as positive or negative. For equation 2, current I2 exits the dot of L1 and current I3 enters the dot of L2. Those opposite directions show a negative coupling of inductance M. The same negative coupling shows up in equation 3 for I2, and a positive coupling in equation 3 for I1, where both I1 and I3 enter the dots.

Ratch
 
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