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A 90 cm long solenoid has six layers of ...

A 90 cm long solenoid has six layers of windings of 450 turns each. If the diameter of solenoid is 2.2 cm and current carried is 6 A, then the magnitude of magnetic field inside the solenoid, near its centre is

A

`50 pi G`

B

`60 pi G`

C

`72 pi G`

D

`80 pi G`

Text Solution

Verified by Experts

The correct Answer is:
C
For six layers of windings the total number of turns `=6xx450=2700`
Now number of turns per unit length
`n=(N)/(l)=(2700)/(90xx10^(-2))=3000`
Then the field inside the solenoid near the centre
`B=mu_(0)nI=4pi xx10^(-7)xx3000xx6=72pixx10^(-4)T=72piG`
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