I have a problem that has a common core and two wound coils. The core is square with sides A and D opposite and C and B opposite. Side A and D have the same cross sectional area and side C & B have the same cross sectional area. Sides C and B have the coil around them. I know the current in the coil around C and I need to determine the current in the coil around B to produce a flux density of 0.6T in The two vertical limbs(C and B). I also know the core lengths and turns of each coil. My question: I can find the reactance in each length, I can find the flux in each length from Coil 1, I can find the flux in each length in terms of i2 from coil 2. I know that F=flux * reactance. I do not know which terms will be equal to find a relationship to solve for i2. any help would be appreciated.