Where is the magnetic field uniform in a solenoid?

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gsenviro | College Teacher | (Level 1) Educator Emeritus

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A solenoid is a long helically wound wire coil which has a very small diameter as compared to its length and carries a uniform current. Each loop is coated with insulating material so that loops are insulated from each other. 

The magnetic field inside (or in the center of) a solenoid is uniform. The field outside is weak and divergent. This is true for a long solenoid.

The magnetic field is given by the relation:


where, B is the magnetic field, 

n is the number of turns per unit length (= total number of turns/solenoid length)

I is the current flowing through the solenoid

and `mu`  is the magnetic constant. 

The magnetic field is independent of the diameter and length of the solenoid. 

This mathematical relationship is also known as Ampere's circuital law.


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