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An infinite line charge produces a field...

An infinite line charge produces a field of `9xx10^(-4)NC^(-1)` at a distance of 2 cm. Calculate the linear charge density.

A

`10muC//m`

B

`12muC//m`

C

`16muC//m`

D

`18muC//m`

Text Solution

Verified by Experts

The correct Answer is:
A
Electric field produced by the infinite line charges at a distance d having linear charge density`lamda` is given by the relation,
`E=(lamda)/(2piin_(0)d)`
`lamda=2piin_(0)dE`
Where,
d = 2 cm = 0.02 m
E `=9xx10^(4)N//C`
`in_(0)` = Permittivity of free space
`(1)/(4piin_(0))=9xx10^(9)Nm^(2)C^(-2)`
`lamda=(0.02xx9xx10^(4))/(2xx9xx10^(9))`
=`10muC//m`
Therefore, the linear charge density is `10muC//m`.
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