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Question

A charge Q is uniformly distributed over a rod of length l. Consider a hypothetical cube of edge l with the centre of the cube at one end of the rod. Find the minimum possible flux of the electric field through the entire surface of the cube.

A
Q4ε0
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B
2Qε0
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C
Qε0
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D
Q2ε0
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Solution

The correct option is C Q2ε0
Here, half of the length of the rod outside the cube. From Gauss's law, flux,ϕ=Qenϵ0
where Qen=charge inside the cube=Q2
thus, flux(ϕ)=Q2ϵ0
134882_125491_ans.png

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