In a certain material for which µ = 6.5 o
,
H = 10ax + 25ay - 40az A/m
Find (a) The magnetic susceptibility xm of the material
(b) The magnetic flux density (c) The magnetization, (d) The magnetic energy density
I just want the rule of them
To find the requested quantities, we need to know the formulas used in magnetism. Here are the rules for calculating each of the quantities mentioned:
(a) Magnetic Susceptibility (χm): Magnetic susceptibility is defined as the ratio of the magnetization (M) to the applied magnetic field (H). It is represented by the symbol χm. The formula to calculate magnetic susceptibility is:
χm = M / H
(b) Magnetic Flux Density (B): Magnetic flux density, usually referred to as magnetic field strength, is the measure of the magnetic field generated by a magnet or electric current. It is represented by the symbol B. The formula to calculate magnetic flux density is:
B = μ * H
where μ is the permeability of the material.
(c) Magnetization (M): Magnetization is the property of a material that causes it to generate a magnetic field. It is represented by the symbol M and is given by the formula:
M = χm * H
(d) Magnetic Energy Density (u): Magnetic energy density is the energy stored per unit volume in a magnetic field. It is represented by the symbol u and can be calculated using the formula:
u = (1/2) * B * H
where B is the magnetic flux density and H is the applied magnetic field.
Using these formulas, you can calculate each of the quantities mentioned in your question. Just substitute the given values into the relevant formulas to get the final answer.