An infinite line charge produces a field of 18* 10^4 N/C at a distance of 2 metre from it. The linear charge density is? 1) 10^-5 2) 2* 10^-5 3) zero 4) 4* 10^-5

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Solution

E = λ/(2πϵ_or) = 2λ/(4πϵ_or)
E = 18 x 10⁴ N/C
1/(4πϵ_o) = 9 x 10⁹ Nm² /C².

Linear charge density λ = E. 4πϵ_or/2
= (18 x 10⁴ N/C) (2) / ( (9 x 10⁹ Nm² /C²) x 2 )

= 2 x 10^-5 C/m

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