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Question

A solenoid has a length 1 m and inner diameter 4 cm and it carries a current of 5 A. It consists of five close packed layers, each with 800 turns along its length. The magnitude of the magnetic field at the centre is nearly equal to



Your Answer
A

zero

Correct Answer
B

25 mT

Your Answer
C

5 mT

Your Answer
D

1 Mt


Solution

The correct option is C

25 mT


Number of turns per unit length, 5×8001=4000 turns per meter.
Length, L ≫ d
\Rightarrow The solenoid is long and can be treated as an ideal solenoid.
The magnetic field at the centre is given by
B=μ0nl=(4π×107)×(5×4000)=25mT.

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