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Question

Electric field produced due to an infinitely long straight uniformly charged wire at perpendicular distance of 2cm is 3×108NC1. Then, linear charge density on the wire is _____________.
(K=9×109SIunit)

A
3.33μCm
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B
333μCm
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C
666μCm
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D
6.66μCm
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Solution

The correct option is B 333μCm
Given, r=2×102m,
E=3×108N/C
K=9×109Nm2/C2
The linear charge density I=Er2K
I=3×108×2×1022×9×109
I=13×103C/m
=0.333×103C/m
=333×106C/m
=333μC/m

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