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An infinite line charge produce a field ...

An infinite line charge produce a field of `3xx10^4` N/C at a distance of 3 cm. The linear charge density is:

A

`0.5muC//m`

B

`1muC//m`

C

`1.5muC//m`

D

`2muC//m`

Text Solution

Verified by Experts

The correct Answer is:
A
`0.5muC//m`
Explanation: `E=lambda/(2piepsi_0r)`
`rArr" "lambda=Exx2piepsi_0r`
`lambda=((4piepsi_0)/2)r.E`
`=1/(9xx10^9)xx(3xx10^(-2)xx3xx10^4)/2`
`=0.5xx10^(-7)`
`=0.5muc//m`
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