Magnetic field inside a sperical coil

In summary, the magnetic field inside a spherical coil is a region in space created by the flow of electric current through a coiled wire. Its strength and direction can be controlled by the shape and size of the coil. The field can be calculated using the formula B = μ₀nI, and factors such as the number of turns, current, and permeability affect its strength. The direction of the field depends on the direction of the current. This field has many practical applications, including in electric motors, generators, and MRI machines, and can be used for scientific experiments and demonstrations.
  • #1
adamoob
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Homework Statement


What is the induction in the centre of a spherical coil with N turns, the current I and the radius R?


Homework Equations


Biot-Savart law [tex] \mathbf{B} = \int\frac{\mu_0}{4\pi} \frac{I d\mathbf{l} \times \mathbf{\hat r}}{|r|^2}[/tex]


The Attempt at a Solution


I know what the induction from one turn is but I don't have a clue how to sum these up. And as have to have this homework done by Tuesday I'll be most grateful for any help.
 
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  • #2
In Biot-Savart law you may change
I to NI.
 

Related to Magnetic field inside a sperical coil

1. What is a magnetic field inside a spherical coil?

A magnetic field inside a spherical coil is a region in space where a magnetic force can be detected. It is created by the flow of electric current through a coiled wire, and the strength and direction of the field can be controlled by the shape and size of the coil.

2. How is the magnetic field inside a spherical coil calculated?

The magnetic field inside a spherical coil can be calculated using the formula B = μ₀nI, where B is the magnetic field strength, μ₀ is the permeability of free space, n is the number of turns in the coil, and I is the current flowing through the coil.

3. What factors affect the strength of the magnetic field inside a spherical coil?

The strength of the magnetic field inside a spherical coil is affected by the number of turns in the coil, the current flowing through the coil, and the permeability of the material inside the coil. The shape and size of the coil also play a role in determining the strength of the magnetic field.

4. How does the direction of the magnetic field inside a spherical coil change?

The direction of the magnetic field inside a spherical coil depends on the direction of the electric current flowing through the coil. If the current is flowing clockwise, the magnetic field will be directed in one direction, and if the current is flowing counterclockwise, the magnetic field will be directed in the opposite direction.

5. What are some practical applications of the magnetic field inside a spherical coil?

The magnetic field inside a spherical coil has many practical applications, such as in electric motors, generators, and transformers. It is also used in magnetic resonance imaging (MRI) machines and particle accelerators. Additionally, it can be used in scientific experiments and demonstrations to study the effects of magnetic fields on different materials.

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