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In an iron cored coil the iron core is removed so that the coil becomes an air cored coil. The inductance of the coil will
  • a)
    increase
  • b)
    decrease
  • c)
    remain the same
  • d)
    initially increase and then decrease
Correct answer is option 'B'. Can you explain this answer?
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In an iron cored coil the iron core is removed so that the coil become...
In an iron cored coil the iron core is removed so that the coil becomes an air cored coil. The inductance of the coil will decrease.
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In an iron cored coil the iron core is removed so that the coil become...
Explanation:

When the iron core is removed from an iron cored coil, it becomes an air cored coil. The inductance of the coil will decrease.

Inductance:
Inductance is a property of an electrical circuit that opposes the change in current flowing through it. It is a measure of the ability of a coil to store electrical energy in the form of a magnetic field.

Effect of Iron Core:
The presence of an iron core in a coil increases its inductance. This is because iron is a ferromagnetic material, which means it can easily magnetize and demagnetize. When a current flows through a coil with an iron core, the magnetic field produced by the current induces a strong magnetic field in the iron core. This increases the inductance of the coil.

Effect of Air Core:
When the iron core is removed and the coil becomes an air cored coil, the inductance decreases. This is because air is a non-magnetic material with a very low magnetic permeability. The absence of a magnetic core means that there is no material to concentrate and enhance the magnetic field produced by the current flowing through the coil. As a result, the inductance of the coil decreases.

Mathematical Explanation:
The inductance of a coil is given by the formula L = (μ₀μᵣN²A)/l, where L is the inductance, μ₀ is the permeability of free space, μᵣ is the relative permeability of the core material, N is the number of turns in the coil, A is the cross-sectional area of the coil, and l is the length of the coil.

When the iron core is replaced by air, the relative permeability (μᵣ) becomes 1, as air has a relative permeability very close to 1. As a result, the inductance of the coil decreases, as the term μ₀μᵣ in the formula becomes μ₀ × 1 = μ₀.

Therefore, the inductance of the coil will decrease when the iron core is removed and the coil becomes an air cored coil.
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