Question

[10 pts] Each of the following diagrams shows the fields (to scale) on either side of the boundary between two linear media. B. B, Case 1 Case 2 Case 3 For each diagram, state whether or not the fields shown are physically possible. Explain your reasoning for each case Case 1 Case 2 Case 3 If you have any reasoning that may apply to all three cases, you may write your explanation below

Answer 1

Here we use the fact that the tangential component of E field is continuous and the normal component of B field is continuous.

Explaination for each case is sepately given in the below picture.

"Here we use the fact that the tangential component of E field is continuous and the normal component of B field is continuous. Explanation for each case is separately given in the below picture. First we resolve E^rightarrow and B^rightarrow field components along the parallel and perpendicular direction of the boundary between two linear media. Case 1 From above representation we can write that E_1^"" = -E_2^"" B_1^L = B_2^L This system doesn't satisfy boundary conditions which are E_1^"" = E_2^"" B_1^= B_2^perpendicular Case 2 Here we get E_1^"" = E_2^"" B_1^perpendicular = B_2^perpendicular Thus it satisfies boundary conditions boundary constitutions In this case the fields shown are physically possible. Case 3 In this case E_1^"" notequalto E_2^"" B_1^perpendicular = -B_2^perpendicular Thus this system also doesn't satisfy boundary conditions. So the fields shown here are not possible physically. Boundary conditional at the boundary surface are given as E_1^"" = E_2^"" "

I have explained the solution in the image.

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