For an infinite line of charge having charge density \(\lambda\) lying along \(x\)-axis, the wor....

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For an infinite line of charge having charge density \(\lambda\) lying along \(x\)-axis, the work required in moving a charge \(q\) from \(C\) to \(A\) along arc \(C A\) is \(\frac{q \lambda}{\pi \varepsilon_0} \ln (\sqrt{x})\). Find \(x\).
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