Q.
An electric field given by E→=4i^+3y2+2j^ pierces Gaussian cube of side 1 m placed at origin such that its three sides represents x, y and z axes. The net charge enclosed within the cube is
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a
4εo
b
3εo
c
5εo
d
Zero
answer is B.
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Detailed Solution
The x-component of electric field is constant and does not contribute to net flux through the closed surface. Due to y-component,Incoming flux= -6 units ( ∴ y = 0 )Outgoing flux= 9 units (∴ y = 1)By Gauss' law, ϕnet=qεo⇒9−6=qεoHence, q=3εo
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