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A long solenoid has 200 turns per cm and...

A long solenoid has `200` turns per cm and carries a current `i`. The magnetic field at its centre is `6.28xx10^(-2) weber/cm^(2)`. Another long soloenoid has `100` turns per cm and it carries a current `(i)/(3)`. The value of the magnetic field at its centre is

A

`1.05 xx 10^(-2) Weber//m^(2)`

B

`1.05 xx 10^(-5) Weber//m^(2)`

C

`1.05 xx 10^(-3) Weber//m^(2)`

D

`1.05 xx 10^(-4) Weber//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(B_(2))/(B_(1)) = (mu_(0)n_(2)i_(2))/(mu_(0)n_(i)i_(1)) rArr (B_(2))/( 6.28 xx10^(-2)) = ( 100xx(i)/(3))/(200xxi)`
rArr = (6.28xx10^(-2))/(6) = 1.05 xx10^(-2) Wb//m^(2)`
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