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Find the electric flux (in S.I. unit) through the rectangular plate abcd of length l = 2 m , width L and whose centre is at a distance O P = x 0 = L 2 from an infinite line of charge with linear charge density λ = 1 36 π × 1 0 - 9 C m - 1 . Consider that the plane of the frame is perpendicular to line O P .

Correct answer

0.5

Step-by-step solution

If we arrange three more rectangular plates (similar to the one which is given) around the wire, then we get a rectangular box open at both ends. We bring two more plates and use them to close this rectangular box. We can see from the figure that we have a symmetric system for which the total flux is ϕ = λ l ε 0 Hence the flux through one plate is ϕ = λ l 4 ε 0 = 0 . 5

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