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ch23_p14 - 14 The total electric flux through the cube is =...

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14. The total electric flux through the cube is E dA Φ = ³ G G v . The net flux through the two faces parallel to the yz plane is 2 2 1 1 2 2 1 1 1 3 2 1 0 1 1 3 0 1 [ ( ) ( )] [10 2(4) 10 2(1)] 6 6(1)(2) 12. y z yz x x y z y z y z E x x E x x dydz dy dz dy dz = = = = = = = = Φ = = = = + = = = ³³ ³ ³ ³ ³ Similarly, the net flux through the two faces parallel to the xz plane is 2 2 1 1 4 3 2 1 1 1 [ ( ) ( )] [ 3 ( 3)] 0 x z xz y y x z E y y E y y dxdz dy dz = = = = Φ = = = = − − − = ³³ ³ ³ , and the net flux through the two faces parallel to the xy
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