EE325_quiz_7_sol_Yilmaz

# EE325_quiz_7_sol_Yilmaz - NAME I EE325-Fall 2009 Quiz 7 1...

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NAME: _________________ I EE325-Fall 2009 Quiz 7 1) Two different magnetic materials are separated by the line =+ 2 yx as shown in the below figure. Given that =− + + 1 ˆˆˆ 264 A / m xyz Ha a a just to the right of the interface where μμ = 10 5 , calculate 2 H just to the left of the interface, where = 20 2 . (Hint: A unit vector normal to the interface of the two materials is ˆˆ ˆ 2 n = aa a ) (10 points) First, find the magnetic flux density: == + + 2 1 0 5 ( 10 30 20 ) Wb/m BH a a a . Then, decompose the magnetic flux density and the magnetic field strength into their normal and tangential components: 11 1 nt BB B and 1 HH H . The component of 1 B normal to the interface is = ˆ nn n B Ba , where μ + =⋅= ⋅− + + = = 0 00 30 10 ˆ ˆ (1 0 3 0 2 0 ) 2 02 22 x y z B aB a a a i.e., μ + (2 0 2 nx y a . The component tangential to the interface is: μ = + + (10 ) tn x y z B a a a We can repeat the same decomposition for 1 H or we can observe that μ =⇒ = = 0 1 1 0 1 55 a n d 5 tt B HB H since the components of the vector normal and tangential to the interface are orthogonal.

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## This note was uploaded on 02/07/2010 for the course EE 325 taught by Professor Brown during the Fall '08 term at University of Texas.

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EE325_quiz_7_sol_Yilmaz - NAME I EE325-Fall 2009 Quiz 7 1...

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