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# sp08hw8sol1 - ECE329 Homework 8 Spring2008 Problem 1 The...

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Unformatted text preview: ECE329 Homework 8 Spring2008 Problem 1. The problem was a bit unclear. The solution assumes that the x < range is called material 1, has = 3 , and is on the left side. The boundary condition ˆ a n · ( D 1- D 2 ) = ρ s can be used to nd E 2 x at x = 0 . D 1 x = D 2 x 3 E = 5 E 2 x E 2 x E 1 x = 3 5 From the boundary condition ˆ a n × ( E 1- E 2 ) = 0 and at x = 0 , E 2 z must be zero. Also from this boundary condition, E 1 y = E 2 y . E 2 y E 1 y = 1 At x = 0 , E 2 = E ( 3 5 ˆ a x + 3ˆ a y ) and D 2 = E 0 0 (3ˆ a x + 15ˆ a y ) . | E 2 | | E 1 | = q ( 3 5 ) 2 + 3 2 √ 1 2 + 3 2 = 0 . 97 | D 2 | | D 1 | = √ 3 2 + 15 2 √ 3 2 + 9 2 = 1 . 61 Problem 2. First nd ˜ H in both regions using Faraday's law with phasors. ∇ × ˜ E =- jωμ ˜ H ˜ H 1 = ˆ a y E β 1 ωμ 1 e- jβ 1 z ˜ H 2 = ˆ a y E β 2 ωμ 2 e- jβ 2 z Use the boundary condition ˆ a n × ( H 1- H 2 ) = J s at z = 0 . For this case with perfect dielectrics, ˜ H 1 y = ˜ H 2 y ....
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• Spring '08
• FRANKE
• Trigraph, Holden Commodore, GM V platform, Rear wheel drive vehicles, Holden VY Commodore, Holden VZ Commodore

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sp08hw8sol1 - ECE329 Homework 8 Spring2008 Problem 1 The...

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