Answer
Verified
450k+ views
Hint: The absolute permeability of a material is equal to the product of the permeability in free space and the relative permeability of the medium.
Complete step by step solution:
The relation between absolute permeability and relative permeability is as follows:
Absolute permeability is equal to \[4\pi \times {10^{ - 7}}\] times the relative permeability of the material in its respective SI unit.
Therefore, from the above relation we get:
\[\mu = {\mu _0}{\mu _r}\]
Where,
\[\mu \] is the absolute permeability of the material in SI units
\[{\mu _0}\] is equal to \[4\pi \times {10^{ - 7}}\]
\[{\mu _r}\] is the relative permeability of the given material.
Therefore, from the above relation on putting the values in the given formula for absolute permeability we get,
\[\begin{array}{l}
\mu = {\mu _0}{\mu _r}\\
\Rightarrow \left( {4\pi \times {{10}^{ - 7}}} \right) \times 2000
\end{array}\]
Now after multiplying the values we get,
\[ \Rightarrow 8\pi \times {10^{ - 4}}\]
The above answer is in terms of the absolute permeability of the given material in terms of its SI units.
Additional information: The term absolute permeability \[\mu \] of a material is the product of the permeability of free space \[{\mu _0}\] and the relative permeability of the material \[{\mu _r}\].
The relative permeability of a medium is defined as the force between two poles when it is placed at a fixed distance in vacuum to the force between them at the same distance in that medium.
The relative permeability in its essence is a purely numerical number and therefore has no units. As mentioned before, for air and nonmagnetic materials its values are always unity or equal to 1
Note: Students often do not know the relation between the absolute and relative permeabilities of a medium, so it is extremely hard to solve sums like this for them. Students always need to know the equations with certain quantities with other such quantities.
Complete step by step solution:
The relation between absolute permeability and relative permeability is as follows:
Absolute permeability is equal to \[4\pi \times {10^{ - 7}}\] times the relative permeability of the material in its respective SI unit.
Therefore, from the above relation we get:
\[\mu = {\mu _0}{\mu _r}\]
Where,
\[\mu \] is the absolute permeability of the material in SI units
\[{\mu _0}\] is equal to \[4\pi \times {10^{ - 7}}\]
\[{\mu _r}\] is the relative permeability of the given material.
Therefore, from the above relation on putting the values in the given formula for absolute permeability we get,
\[\begin{array}{l}
\mu = {\mu _0}{\mu _r}\\
\Rightarrow \left( {4\pi \times {{10}^{ - 7}}} \right) \times 2000
\end{array}\]
Now after multiplying the values we get,
\[ \Rightarrow 8\pi \times {10^{ - 4}}\]
The above answer is in terms of the absolute permeability of the given material in terms of its SI units.
Additional information: The term absolute permeability \[\mu \] of a material is the product of the permeability of free space \[{\mu _0}\] and the relative permeability of the material \[{\mu _r}\].
The relative permeability of a medium is defined as the force between two poles when it is placed at a fixed distance in vacuum to the force between them at the same distance in that medium.
The relative permeability in its essence is a purely numerical number and therefore has no units. As mentioned before, for air and nonmagnetic materials its values are always unity or equal to 1
Note: Students often do not know the relation between the absolute and relative permeabilities of a medium, so it is extremely hard to solve sums like this for them. Students always need to know the equations with certain quantities with other such quantities.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE