Formula for the magnetic field inside a solenoid

In summary, we have a uniformly wound air-core solenoid with 390 turns, a length of 13.1 cm, and a diameter of 20.8 mm, carrying a current of 29.8 mA. Using the formula for the magnetic field inside an infinitely long solenoid, we can compute the magnetic field to be 9.33 x 10^(-3) T.
  • #1
ashleyd
4
0
A 29.8 mA current is carried by a uniformly wound air-core solenoid with 390 turns. the length of the coil is 13.1 cm, with a diameter of 20.8mm. The permeability of free space is 1.25664 X 10^(-6) N/A^2
compute the magnetic field inside the solenoid. answer in units of T

Relevant equations:
None

The attempt at a solution
no attempt, am stuck at what formula should be used
 
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  • #2
you need formula ?

its B = μoni :smile:
 
  • #3
integral(B dot dl) = Ithrough*mu0

Assume the solenoid is infinitely long. Well, if that is the case, then B inside the solenoid is constant. Anyways, If you draw two infinitely long rectangles, then you will get the formula posted above.
 

FAQ: Formula for the magnetic field inside a solenoid

What is the formula for the magnetic field inside a solenoid?

The formula for the magnetic field inside a solenoid is given by B = μ₀nI, where B is the magnetic field strength, μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current flowing through the solenoid.

How is the direction of the magnetic field inside a solenoid determined?

The direction of the magnetic field inside a solenoid is determined by the right-hand rule. If you curl your fingers in the direction of the current, your thumb will point in the direction of the magnetic field.

What factors affect the strength of the magnetic field inside a solenoid?

The strength of the magnetic field inside a solenoid is affected by the number of turns per unit length, the current flowing through the solenoid, and the permeability of the material inside the solenoid.

Can the formula for the magnetic field inside a solenoid be used for non-ideal solenoids?

Yes, the formula for the magnetic field inside a solenoid can be used for non-ideal solenoids as long as the solenoid is long enough compared to its diameter and the current is evenly distributed throughout the solenoid.

How does the magnetic field inside a solenoid change with distance from the center?

The magnetic field inside a solenoid is strongest at the center and decreases as you move further away from the center. This is because the magnetic field lines are more concentrated in the center due to the closer proximity of the coils.

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