1. The problem statement, all variables and given/known data The xy-plane serves as the interface between two different media. Medium 1 (z < 0) is filled with a material whose µr=6, and medium 2 (z > 0) is filled with a material whose µr=4. If the interface carries a current (1/µ0)ˆy (y- hat) mA/m, and B2 = 5ˆx (x-hat) + 8ˆz (z-hat) mWb/m2 , find H1 and B1. 2. Relevant equations H = 1/μ0 B - M. Habove - Hbelow = Kf x ^n (n-hat) 3. The attempt at a solution I know I am not doing this right because it seems to simple and my linear algebra isn't the best (I forgot some of the concepts) but this is what made sense to me: H2 = 1/(μ04) [5 ^x + 8 ^z] Sub that into the second equation. so 1/(μ04) [5 ^x + 8 ^z] - H1 = 1 ^y => 1/(μ04) [5 ^x + 8 ^z] - 1/(μ06)B2 = 1 ^y I change it into vector coordinates 1/μ0 (5/4, 0, 8/4) - 1/μ0 (x/6, -6/6, z/6) = 1 ^y Then solve for x and z. I get H1 = 1/(μ0) (7.5/6 ^x - 1 ^y + 12/6 ^z) and B1 = 7.5 ^x - ^y + 12^z Am I going about this right or am I all the way in Mars right now?