There are two coils A and B separated

Question:

There are two coils A and B separated by some distance. If a current of 2 A flows through A, a magnetic flux of 10-2 Wb passes through B (no current through B). If no current passes through A and a current of 1 A passes through B, what is the flux through A?

Solution:

Ia is the current passing through the coil

Mab is the mutual induction between A and B

Na is the number of turns in coil A

Nb is the number of turns in coil B

ϕa is the flux linked to coil A due to coil B

ϕb is the flux linked to coil B due to coil A

Total flux is B = M2ϕ2 = MabI1=5mH

Total flux through A = Maϕa = MabI1 = 5mWb

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