An infinite line charge produces a field of `9 xx 10^(4) N. C^(-1)` at a distance of 2 cm. Calculate the linear charge density.

Explanation

The field at a distance r from a system with linear charge density is given by
`E = ( 1)/( 2pi in_(0)) . ( lambda)/( r ) ` or, ` lambda = 4pi in_(0)( E r )/( 2) `
`:. lambda = ( 1)/( 9 xx 10^(9)) xx ( 9 xx 10^(4) xx 0.02)/( 2) = 10^(-7) C.m^(-1)`