A domain in a ferromagnetic substance is in the form of a...

A domain in a ferromagnetic substance is in the form of a cube of side length $1 \mu \mathrm{m}$. If it contains $8 \times 10^{10}$ atoms and each atomic dipole has a dipole moment of $9 \times 10^{-24} \mathrm{~A} \mathrm{~m}^{2}$ then magnetization of the domain is $\mathrm{A} \mathrm{m}^{-1}$ a) $7.2 \times 10^{5}$ (b) $7.2 \times 10^{3}$ (c) $7.2 \times 10^{5}$ (d) $7.2 \times 10^{3}$

A domain in a ferromagnetic substance is in the form of a cube of side length $1 \mu \mathrm{m}$. If it contains $8 \times 10^{10}$ atoms and each atomic dipole has a dipole moment of $9 \times 10^{-24} \mathrm{~A} \mathrm{~m}^{2}$ then magnetization of the domain is $\mathrm{A} \mathrm{m}^{-1}$
a) $7.2 \times 10^{5}$
(b) $7.2 \times 10^{3}$
(c) $7.2 \times 10^{5}$
(d) $7.2 \times 10^{3}$

Key Concepts

Atomic Dipole Moment

An atomic dipole moment is a measure of the magnetic strength and orientation of an individual atom, arising primarily from the spin and orbital movement of electrons. In ferromagnetic materials, the collective contribution of these atomic dipole moments is crucial in establishing the overall magnetization.

Ferromagnetism

Ferromagnetism is the phenomenon where certain materials exhibit spontaneous magnetic ordering due to the parallel alignment of atomic magnetic moments. This property arises from quantum mechanical exchange interactions, resulting in materials that can retain a permanent magnetization even in the absence of an external magnetic field.

Magnetic Domains

Magnetic domains are small regions within a ferromagnetic material where the magnetic moments of atoms are uniformly aligned. Although each domain has a high degree of magnetization, the overall material might appear unmagnetized if the domains are randomly oriented, and the alignment of domains under external influences is fundamental to understanding magnetic behavior.

Magnetization

Magnetization is defined as the net magnetic moment per unit volume of a material. It quantifies how strongly a material is magnetically aligned and is calculated by taking the total magnetic moment (the sum of individual atomic dipole moments) and dividing it by the volume of the material.

Unit Conversion in Volume Calculations

Accurate determination of magnetization requires converting geometric dimensions into the appropriate unit of volume. For example, understanding how to convert a micrometer scale measurement into cubic meters is essential to ensure that the calculated magnetization has the correct units for practical and theoretical analysis.

Transcript

Please give Ace some feedback