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When a piece of a ferromagnetic substance is put in a uniform magnetic field, the flux density inside it is four times the flux density away from the piece. The magnetic permeability of the material is
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'D'. Can you explain this answer?
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When a piece of a ferromagnetic substance is put in a uniform magneti...
Explanation:
When a ferromagnetic substance is put in a uniform magnetic field, the flux density inside it is four times the flux density away from the piece. Let's understand this using the following points:
- Ferromagnetic substances are those substances that get strongly magnetized in a magnetic field. Examples of ferromagnetic substances are iron, nickel, cobalt, etc.
- A uniform magnetic field is a magnetic field that has the same strength and direction at every point in space. It is also called a homogeneous magnetic field.
- Flux density is a measure of the strength of the magnetic field. It is defined as the magnetic flux per unit area perpendicular to the direction of the magnetic field.
- Magnetic permeability is the ability of a material to conduct magnetic lines of force. It is defined as the ratio of magnetic flux density to magnetic field strength.
Now, let's use the given information to find the magnetic permeability of the material:
- Let B be the flux density away from the piece.
- Then, the flux density inside the piece is 4B (given).
- Let H be the magnetic field strength (also called magnetic intensity).
- Then, the magnetic permeability of the material is given by the equation:
𝜇r = B/H
- Using the given information, we can write:
4B/H = 𝜇rB/H
- Canceling B/H on both sides, we get:
4 = 𝜇r
- Therefore, the magnetic permeability of the material is 4, which is option D.
In summary, when a piece of a ferromagnetic substance is put in a uniform magnetic field, the flux density inside it is four times the flux density away from the piece. The magnetic permeability of the material is 4.
When a ferromagnetic substance is put in a uniform magnetic field, the flux density inside it is four times the flux density away from the piece. Let's understand this using the following points:
- Ferromagnetic substances are those substances that get strongly magnetized in a magnetic field. Examples of ferromagnetic substances are iron, nickel, cobalt, etc.
- A uniform magnetic field is a magnetic field that has the same strength and direction at every point in space. It is also called a homogeneous magnetic field.
- Flux density is a measure of the strength of the magnetic field. It is defined as the magnetic flux per unit area perpendicular to the direction of the magnetic field.
- Magnetic permeability is the ability of a material to conduct magnetic lines of force. It is defined as the ratio of magnetic flux density to magnetic field strength.
Now, let's use the given information to find the magnetic permeability of the material:
- Let B be the flux density away from the piece.
- Then, the flux density inside the piece is 4B (given).
- Let H be the magnetic field strength (also called magnetic intensity).
- Then, the magnetic permeability of the material is given by the equation:
𝜇r = B/H
- Using the given information, we can write:
4B/H = 𝜇rB/H
- Canceling B/H on both sides, we get:
4 = 𝜇r
- Therefore, the magnetic permeability of the material is 4, which is option D.
In summary, when a piece of a ferromagnetic substance is put in a uniform magnetic field, the flux density inside it is four times the flux density away from the piece. The magnetic permeability of the material is 4.
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The magnetic permeability of the material
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When a piece of a ferromagnetic substance is put in a uniform magnetic field, the flux density inside it is four times the flux density away from the piece. The magnetic permeability of the material isa)1b)2c)3d)4Correct answer is option 'D'. Can you explain this answer?
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