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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 1. The magnetic field at its centre is `6.28 xx 10^(-2) Wb m^(-2)`. Another long solenoid has 100 turns per cm and it carries a current `7"/"3`. The value of the magnetic field at its centre is

A

`1.05xx10^(-4)Wbm^(-2)`

B

`1.05xx10^(-2)Wbm^(-2)`

C

`1.05xx10^(-5)Wbm^(-2)`

D

`1.05xx10^(-3)Wbm^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Magnetic field induction at the centre of a long solenoid id `B=mu_(0)nIorBpropnI` (as `mu_(0)` is constant) where , n is the number of turns per unit length of solenoid .
`:.(B_(1))/(B_(2))=(n_(1))/(n_(2))((I_(1))/(I_(2)))=(200)/(100)xx(I)/((I"/"3))=6`
or `B_(2)=(B_(1))/(6)=(6.28xx10^(-2))/(6)=1.05xx10^(-2) Wb m^(-2)`
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