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A long straight non-conducting string ca...

A long straight non-conducting string carriers a charge density of `40 muC//m`. It is pulled along its length at a speed of `300 m//sec`. What is the magnetic field at a normal distance of `5 mm` from the moving string?

A

`B=4.8 xx 10^(-7)T`

B

`B=3.2 xx 10^(-7)T`

C

`B=2.5 xx 10^(-7)T`

D

`B=5 xx 10^(-7)T`

Text Solution

Verified by Experts

The correct Answer is:
A
The moving string behaves like a current,
`i=(40 xx10^(-6)C//m)(300 m//sec)`
`=1.2 xx 10^(-2)` ampare
Then `B=(mu_(0)i)/(2 pi r)=(2 xx 10^(-7)xxx1.2 xx 10^(-2))/(0.005)`
`=4.8xx10^(-7)` tesla
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