Magnetic field of iron core solenoid

In summary, when calculating the magnetic field of an iron core solenoid, the appropriate permeability to use depends on factors such as the core material, air gaps, and the shape of the core. While the relative permeability is typically used, the effective permeability may be more accurate in certain situations. It is important to consider these factors in order to accurately calculate the magnetic field.
  • #1
foru0707
1
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When we calculate magnetic field of iron core solenoid, should we multiply "relative permeability" or "effective permeability"?

I thought that we should use relative permeability, but wiki(http://en.wikipedia.org/wiki/Solenoid) says that we should use effective permeability.

I'm so confused...
please help me.
 
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  • #2
Permeability μ0 - air/no core

L = k * μ0 * N2 * A/l

Relative Permeability μr - factors in the core material

L = k * μ0 μr * N2 * A/l

Effective permeability μe - Similar to μr but takes into acount factors such as air gaps, the shape of the core, winding layout. The effective permeability also changes if the core is saturated or fast pulses/high frequencies are involved.

L = k * μ0 μe * N2 * A/l
 
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Related to Magnetic field of iron core solenoid

1. What is a solenoid?

A solenoid is a coil of wire that is wound in a helix shape. When an electric current flows through the wire, it creates a magnetic field.

2. How is a magnetic field created in an iron core solenoid?

When an electric current flows through the wire of a solenoid, it creates a magnetic field. The magnetic field is intensified when the solenoid has an iron core, as iron is a ferromagnetic material which can be easily magnetized.

3. What is the direction of the magnetic field in an iron core solenoid?

The direction of the magnetic field in an iron core solenoid is determined by the direction of the current flow. The magnetic field lines will wrap around the solenoid in a helix shape, with the direction of the field inside the solenoid being the same as the direction of the current flow.

4. How does the strength of the magnetic field in an iron core solenoid vary?

The strength of the magnetic field in an iron core solenoid is directly proportional to the number of turns in the coil and the amount of current flowing through the wire. Increasing either of these factors will result in a stronger magnetic field.

5. What are the practical applications of using an iron core solenoid?

Iron core solenoids are commonly used in various electrical devices, such as electromagnets, relays, and motors. They are also used in magnetic sensors, speakers, and MRI machines. They are preferred over air core solenoids because they have a stronger magnetic field and can be easily controlled by varying the current flow.

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