Question
Question: Define magnetization. Write its SI unit and dimensions....
Define magnetization. Write its SI unit and dimensions.
Solution
By observing the word magnetization we can know that it's related to magnet or magnetic properties. Recall the concept of magnets and how materials are magnetized. Recall the SI unit of magnetization and the unit find the dimension of each term and combine them to find the dimension of magnetization.
Complete answer:
We are asked to define magnetization and write its SI unit and dimension.The materials which have magnetic properties get magnetized when it is brought near a magnet or magnetic field of a magnet, the degree or extent of how much the material gets magnetized is known as magnetization. Magnetization can also be defined as net magnetic moment per unit volume of a material, that is
M=Vmnet
where M is the magnetization of the material, mnet is the net magnetic moment of the material and V is the volume of the material
The SI unit of magnetization is ampere per metre that is, Am - 1.To find its dimension, we find the dimension of ampere and metre separately and then combine them.Dimension of ampere is,
{{{\text{M}}^{\text{0}}}{{\text{L}}^{\text{0}}}{{\text{T}}^{\text{0}}}{{\text{I}}^{\text{1}}}} \right]$$ and metre is $$\left[ {\text{m}} \right] = \left[ {{{\text{M}}^{\text{0}}}{{\text{L}}^1}{{\text{T}}^{\text{0}}}} \right]$$ where $${\text{M}}$$ is dimension of mass, $${\text{L}}$$ is dimension of length, $${\text{T}}$$ is dimension of time and $${\text{I}}$$ is dimension of electric current. Dimension of magnetization will be, $$\left[ {{\text{A}}{{\text{m}}^{{\text{ - 1}}}}} \right] = \left[ {{{\text{M}}^{\text{0}}}{{\text{L}}^0}{{\text{T}}^{\text{0}}}{{\text{I}}^1}} \right]\left[ {{{\text{M}}^0}{{\text{L}}^1}{{\text{T}}^0}} \right] \\\ \therefore\left[ {{\text{A}}{{\text{m}}^{{\text{ - 1}}}}} \right]= \left[ {{{\text{M}}^{\text{0}}}{{\text{L}}^1}{{\text{T}}^{\text{0}}}{{\text{I}}^1}} \right]$$. **Therefore, SI unit of magnetization is $${\text{A}}{{\text{m}}^{{\text{ - 1}}}}$$ and its dimension is $$\left[ {{{\text{M}}^{\text{0}}}{{\text{L}}^1}{{\text{T}}^{\text{0}}}{{\text{I}}^1}} \right]$$.** **Note:** There are five types of magnetic behavior, these are diamagnetism, paramagnetism, ferromagnetism, ferromagnetism and antiferromagnetism. Materials can be magnetized either permanently or temporarily depending upon its magnetic behavior. Permanent magnets are magnets made up of ferromagnetic materials.