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Magnetic stored energy density for iron is given by ______
- a)1/2 B/μ
- b)1/2 B2 μ
- c)1/2 ∅2 Rl
- d)1/2 B2/μ
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Magnetic stored energy density for iron is given by ______a)1/2 B/μ...
Explanation:
Magnetic Stored Energy Density Formula:
The magnetic stored energy density for iron is given by the formula: 1/2 B^2 / μ, where B is the magnetic flux density and μ is the permeability of the material.
Breaking Down the Formula:
- 1/2: This term represents half of the total energy stored in the magnetic field.
- B^2: This term represents the square of the magnetic flux density, indicating the strength of the magnetic field.
- μ: This term represents the permeability of the material, which determines how easily a material can be magnetized.
Significance of the Formula:
- The formula shows that the energy stored in a magnetic field is directly proportional to the square of the magnetic flux density.
- It also indicates that the energy stored is inversely proportional to the permeability of the material.
Application in Iron:
- In the case of iron, which is a ferromagnetic material with high permeability, the energy stored in its magnetic field is given by 1/2 B^2 / μ.
- This formula is important in understanding the behavior of magnetic materials and designing magnetic circuits in electrical engineering applications.
Conclusion:
The magnetic stored energy density for iron is expressed by the formula 1/2 B^2 / μ, which highlights the relationship between magnetic flux density, permeability, and energy stored in the magnetic field. This formula is essential for analyzing and designing magnetic systems in electrical engineering.
Magnetic Stored Energy Density Formula:
The magnetic stored energy density for iron is given by the formula: 1/2 B^2 / μ, where B is the magnetic flux density and μ is the permeability of the material.
Breaking Down the Formula:
- 1/2: This term represents half of the total energy stored in the magnetic field.
- B^2: This term represents the square of the magnetic flux density, indicating the strength of the magnetic field.
- μ: This term represents the permeability of the material, which determines how easily a material can be magnetized.
Significance of the Formula:
- The formula shows that the energy stored in a magnetic field is directly proportional to the square of the magnetic flux density.
- It also indicates that the energy stored is inversely proportional to the permeability of the material.
Application in Iron:
- In the case of iron, which is a ferromagnetic material with high permeability, the energy stored in its magnetic field is given by 1/2 B^2 / μ.
- This formula is important in understanding the behavior of magnetic materials and designing magnetic circuits in electrical engineering applications.
Conclusion:
The magnetic stored energy density for iron is expressed by the formula 1/2 B^2 / μ, which highlights the relationship between magnetic flux density, permeability, and energy stored in the magnetic field. This formula is essential for analyzing and designing magnetic systems in electrical engineering.
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Community Answer
Magnetic stored energy density for iron is given by ______a)1/2 B/μ...
Magnetic stored energy density for iron is given as
wfld = Wfld/((Length of the magnetic path through Iron)*(Iron area normal to the magnetic flux)) = 1/2 (F∅)/(length*Area) = 1/2 F/length ∅/area = 1/2 H*B
Also, H = B/μ,thus wfld = 1/2 B2/μ.
wfld = Wfld/((Length of the magnetic path through Iron)*(Iron area normal to the magnetic flux)) = 1/2 (F∅)/(length*Area) = 1/2 F/length ∅/area = 1/2 H*B
Also, H = B/μ,thus wfld = 1/2 B2/μ.
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