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Electric field produced due to an infini...

Electric field produced due to an infinitely long straight uniformly charged wire at perpendicular distance of 2 cm is `3 xx 10^8 NC^(-1)`. Then linear charge density on the wire is.......

A

`333 (muC)/m`

B

`666 (muC)/m`

C

`3.33 (muC)/m`

D

`6.66 (muC)/m`

Text Solution

Verified by Experts

The correct Answer is:
A
`E = lambda/(2piE_(0)r) = (2lambda)/(4piE_(0)r) =(2klambda)/r`
`lambda =(Er)/(2k) =(3 xx 10^(8) xx 0.02)/(2 xx 9 xx 10^(9))`
`therefore lambda =3.33 xx 10^(-6)`
`therefore lambda =333 (muC)/m`
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