An iron bar magnet having a coercivity of 7000 A / m is to be demagnetized. If the bar is insert

step 1 Dear students, in the given problem we need to find the electric current required to generate th

An iron bar magnet having a coercivity of 7000 A / m is to...

An iron bar magnet having a coercivity of $7000 \mathrm{A} / \mathrm{m}$ is to be demagnetized. If the bar is inserted within a cylindrical wire coil $0.25 \mathrm{m}$ long and having 150 turns, what electric current is required to generate the necessary magnetic field?

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Key Concepts

Solenoid Magnetic Field Calculation

When a current flows through a coil of wire, it generates a magnetic field inside the coil that is directly proportional to the current, the number of turns, and inversely proportional to the length of the coil. This relationship is derived from Ampere’s Law, which for a solenoid is given by H = NI/l, where H is the magnetic field strength, N is the number of turns, I is the current, and l is the length of the solenoid. This fundamental principle is used to design coils that can produce a desired magnetic field for applications such as demagnetization.

Coercivity

Coercivity is a property of magnetic materials that represents the intensity of the magnetic field required to reduce the magnetization of the material to zero after it has reached saturation. It is a measure of the resistance of a ferromagnetic material to becoming demagnetized, implying that a magnetic field at least as strong as the coercive field must be applied in the opposite direction to demagnetize it.

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