On a thin rod of length \( l=1 \mathrm{~m} \), lying along the -axis with P one end at the origi...

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On a thin rod of length \( l=1 \mathrm{~m} \), lying along the -axis with
P one end at the origin \( x=0 \). There is uniformly distributed charge

W per unit length. \( \lambda=k x \), where \( k= \) constant \( =10^{-9} \mathrm{~cm}^{-2} \). Find the work done by field (in joule) if a charge \( q=1 \mathrm{C} \) is displaced from a point \( (0, \sqrt{0.44} \mathrm{~m}) \) to \( (0,1 \mathrm{~m}) \) :
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