Unformatted text preview: Thus Ik = The contribution to the total flux from the pair of surfaces z = 1 and z = 2 of the cube is 2m I2  m I1 1 1 1 = m tan1  2 tan1 + tan1 3 3 2 6 4 1 2  tan1 + 2 tan1  tan1 . 3 6 3 2a , and 1  a2 1 tan1 a =  tan1 , 2 a 3 4 1 =  tan1 =  + tan1 3 4 2 3 1 2 12 = tan1 =  tan1 . 2 6 6 2 6 1 4 2 tan1  2 tan1 k k 8 + k2 k 5 + k2 1 . + tan1 k 2 + k2 Using the identities 2 tan1 a = tan1 we calculate  2 tan1 2 tan1 Thus the net flux out of the pair of opposite faces is 0. By symmetry this holds for each pair, and the total flux out of the cube is 0. (You were warned this would be a difficult calculation!) ...
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This note was uploaded on 03/08/2012 for the course MATH 120 taught by Professor Onurfen during the Spring '12 term at Middle East Technical University.
 Spring '12
 OnurFen

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