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Use Gauss's law to derive the expression for the electric field (vector E) due to a straight uniformly charged infinite line of charge density λ C/m.

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Use Gauss's law to derive the expression for the electric field (vector E) due to a straight uniformly charged infinite line of charge density λ C/m.

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Let us draw a Gaussian cylinder of length l and radius r across the line of charge having a density λ C/m. Then from Gauss's law, we have

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