A magnetic circuit has an iron length of 100 cm and air gap length 10 ...
We know that, MMF for air

Where B is the magnetic field intensity.

View all questions of this testA magnetic circuit has an iron length of 100 cm and air gap length 10 ...
Understanding Magnetic Circuits
In a magnetic circuit, the magnetomotive force (MMF) is a crucial concept that helps us understand how magnetic fields interact in different materials.
Components of the Magnetic Circuit
- Iron Length: 100 cm
- Air Gap Length: 10 cm
- Relative Permeability (μr): 200 for iron
Magnetomotive Force (MMF)
MMF is given by the formula: MMF = H * l, where H is the magnetic field strength and l is the length of the magnetic path.
Comparing MMF in Iron and Air Gap
- Iron:
- High relative permeability (μr = 200) means that it can support a significant magnetic flux with a relatively low magnetic field strength (H).
- Hence, even with a longer length (100 cm), the MMF developed in iron will be substantial due to its high permeability.
- Air Gap:
- Air has a much lower permeability (μr ≈ 1), which means it requires a higher magnetic field strength (H) to achieve the same magnetic flux.
- Therefore, for the shorter length (10 cm), the MMF for the air gap will be considerably higher than that of the iron.
Conclusion: Why Option A is Correct
- Equal MMF: The MMF for both iron and the air gap must balance out in a magnetic circuit.
- Equal MMF Condition: Despite different permeabilities and lengths, the total MMF must be the same across different segments, thus making option 'A' correct: "MMF for iron and air gap are equal."
In summary, even though the material properties differ, the requirement for a closed magnetic circuit ensures that the MMF remains equal for both segments.
A magnetic circuit has an iron length of 100 cm and air gap length 10 ...
We know that, MMF for air

Where B is the magnetic field intensity.
