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A charge Q is uniformly distributed over...

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.

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Given length of the rod = edge of cube = l
Portion of rod inside the cube = l/2
Total charge = Q
Linear charge density = `(Q/ l (epsilon_0))` of rod
We know flux = charged enclosed in the
rod inside the cube ` = l/2 xx (Q / l(epsilon_0)) = (Q / 2(epsilon _0))` .
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