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An infinite line charge produces a field...

An infinite line charge produces a field of `19xx10^(4) NC^(-1)` at a distance of 5cm. Calculate the linear charge density.

A

`1.5 muC//m`

B

`1.0 muC//m`

C

0

D

`0.5 muC//m`

Text Solution

Verified by Experts

The correct Answer is:
D
Here, `E = 19xx10^(4) NC^(-1)`,
`r = 0.05m`
Electric field of line charge, `E = (lambda)/(2pi in_(0) r)`
Linear charge density `lambda = 2pi in_(0)E r`
`= 2xx(22)/(7) xx8.85xx10^(-12)xx19xx10^(4)xx0.05`
`= 0.5 muC m^(-1)`
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