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As shown in figure, a cuboid lies in a region with electric field E = 2 x 2 i ^ - 4 y j ^ + 6 k ^ N C - 1 . The magnitude of charge within the cuboid is n ε 0 C . The value of n is ______ (if dimension of cuboid is 1 × 2 × 3 m 3 )

Correct answer

0

Step-by-step solution

Given: E → = 2 x 2 i ^ - 4 y j ^ + 6 k ^ For top and bottom faces, as value of x = 0   &   y = 0 , electric field becomes constant and therefore net flux through these two faces will be zero( ϕ z = 0 ). Now, E x = 2 x 2 , E y = - 4 y and E z = 6 . Change in net flux through face at x=1 and at x=0 parallel to y-z plane can written as, ϕ x = 2 × 1 2 × 2 × 3 - 0 = 12 . Similarly, net flux through face at y=2 and y=0 parallel to x-z plane can be written as, ϕ y = - 4 &#

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