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Question

Three sides of a square of side l are occupied by positive charges of density λ C/m. The net electric filed at the centre O is

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A
2kλl
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B
22kλl
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C
2kλl
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D
kλl
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Solution

The correct option is B 22kλl
Here the electric fields due to line charge of top and bottom of square are equal and opposite to each other. So cancel each other and the net electric field at O is only the field due to the line on left side of square.
The electric field at a distance x from the line charge of length l is
E=k2λxl2+4x2
here from figure x=l2
E=k2λl2l2+4l24=k4λ2l=22kλl

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