A cube of side a is placed such that the nearest face , which is parallel to the yz plane , is at a distance a from the origin . The electric field components are
Ex=αx1/2,Ey=Ez=0.
The flux ϕE through the cube is
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Explanation:
Ei = α x ^1/2
The flux through the cube is only from the left and right side
Ф1 (left side)
Area vector is towards the left side = -a²
Ф1 = E.ds = α a^1/2 x -a²
= - α a^ 3/2
Ф2 (Right side )
Area vector is towards the right side at a distance 2a from the origin = a²
Ф2 = α (2a)^1/2 x a²
= α √2 a^3/2
Total flux = 1+2
= ( √2 - 1) a^3/2
Hope you understand
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