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The magnetic induction at apoint P which...

The magnetic induction at apoint P which is at the distance 4 cm from a long current carrying wire is `10^(-3) T`. The field of induction at a distance 12 cm from the current will be

A

`3.33xx10^(-4)T`

B

`1.11xx10^(-4)T`

C

`3xx10^(-3)T`

D

`9xx10^(-3) T`

Text Solution

Verified by Experts

B due to a carrying straight conductor at a distance r from it is given by
`B= ((mu_(0))/(4pi))((2I)/(r))" "therefore B prop 1/r` for the same current
`therefore (B_(2))/(B_(1))=(r_(1))/(r_(2))=(4)/(12) =1/3`
`therefore B_(2) =(B_(1))/(3) =(10^(-3))/(3) =(10)/(3) xx10^(-4)`
`therefore B_(2) =3.33 xx10^(-4) T`
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Knowledge Check

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