1.

An infinite line charge produces a field of `9xx10^(4) NC^(-1)` at a distance of `4 cm`. Calculate the linear charge density.

Answer» Correct Answer - `2xx10^(-7) cm^(-1)`
Here, `E = 9xx10^(4) NC^(-1), r = 4 cm = 4xx10^(-2)m`
`lambda = ?`
As `E = (lambda)/(2pi in_(0) r)`
`:. lambda = 2pi in_(0) r E = 4pi in_(0) (r )/(2) E`
`= (1)/(9xx10^(9)) xx (4xx10^(-2))/(2) xx 9xx10^(4)`
`E = 2xx10^(-7) Cm^(-1)`


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