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An infinite line charge of linear charge density $λ$ is passes along one side of a cube of side length $ℓ .$ The total flux passing through the cube is

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$\frac{λ ℓ}{ε_{0}}$

$\frac{λ ℓ}{2 ε_{0}}$

$\frac{λ ℓ}{3 ε_{0}}$

$\frac{λ ℓ}{4 ε_{0}}$

answer is D.

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Detailed Solution

For 4 cubes $ϕ = \frac{λ ℓ}{ε_{0}}$

For 1 cube $ϕ = \frac{λ ℓ}{4 ε_{0}}$

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