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Solenoid

A long soleno...

Question

A long solenoid of length $L$ has a mean diameter $D$ . It has $n$ layers of winding of $N$ turns each. If it carries a current $I$ , the magnetic field at its centre will be.

A

Proportional to

D

.

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B

Inversely proportional to

D

.

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C

Independent of

D

.

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D

Proportional to

L

.

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Solution

The correct option is A Independent of $D$ .
Magnetic field due to solenoid is independent of diameter $(∵ B = μ_{0} n I)$ .

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