Question

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An infinite line charge produces an electric field of 1.8 x 10power 5 N/C
distance of 2 cm. Calculate the linear charge density.

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Answer 1

$\underline{ \boxed{ \bold{ \mathfrak{ \huge{ \purple{Answer}}}}}}$

Given :

Electric field produced by infinite line charge at 0.02 m distance is 1.8×10^5 N/C

To Find :

linear charge density of infinite line charged wire

Formula :

Electric field produced by infinite line charged wire is given by..

$\star\:\underline{\boxed{\rm{\pink{E = \frac{2k\lambda}{R}}}}}$

Calculation :

$:\implies\rm\:1.8 × {10}^{5}=\frac{2×9×{10}^{9}×\lambda}{0.02}\\ \\\therefore\rm\:\lambda=2×{10}^{-7}\:\frac{C}{m}$