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I am running my loop current equations for this circuit and have.

-1+-j6*(I1-I2)=0

-j6*(I2-I1)+j20*I2 +j12*I3=0

(j30-j2+j5+4)*I3+j12*I2=0

But i am being told that the mutual inductance term j12 should be negative in both.

My model current I2 is going into the dot and I3 is coming out of the dot, so

jwL+M=0 should apply

not

jwL-M=0

what am i missing?

o wait... is it the sign of the 1V i have backwards?

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# Mutual inductance circuit

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