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An infinite line charge produces a field...

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

Text Solution

Verified by Experts

Here, `E = 9 xx 10^(4) NC^(-1)`
r = 2 cm = 0.02 m
`lambda = ?`
`E = (2)/(4 pi epsilon_(0)) (lambda)/(r )`
or `lambda = (E )/(2) (4 epsilon_(0)) xx r`
= `(9 xx 10^(4))/(2) xx (1)/(9 xx 10^(9)) xx (0.02) Cm^(-1)`
`= 10^(-7) Cm^(-1)`
`lambda = 10^(-7) Cm^(-1)`
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