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A magnetizing field $360A{m^{ - 1}}$ produces a magnetic flux density, $B = 0.6T$ in free magnetic material. What is its permeability $Tm{A^{ - 1}}$?
A) $\dfrac{1}{{300}}$
B) $300$
C) $\dfrac{1}{{600}}$
D) $600$

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Last updated date: 20th Jun 2024
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Answer
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Hint: Permeability is defined as the measure of magnetization that a material possesses to the applied magnetic field. It is denoted by $\mu .$

Complete step by step solution:
Given data:
Magnetizing field, $H = 360A{m^{ - 1}}$
Magnetic flux density, $B = 0.6T$
Permeability =?
We know that Permeability is given by the formula,
$\mu = \dfrac{B}{H}$ where B is the magnetic intensity and H is the magnetizing field
\[ \Rightarrow \mu = \dfrac{{0.6}}{{360}} = \dfrac{1}{{600}}Tm{A^{ - 1}}\]
Thus the permeability \[\mu = \dfrac{1}{{600}}Tm{A^{ - 1}}\].

Hence the correct option is C.

Additional Information:
1. The flow characteristics of the hydrocarbons in oil and gas reservoirs can be determined by using permeability.
2. It is also used in civil engineering in determining the ground conditions of the site like whether it is suitable for construction or not. Also, used in chemical engineering during filtration.
3. The high permeability will allow the fluids to move more fastly through the rocks.

Note: 1. The number of magnetic field lines passing through the given closed surface is called Magnetic flux. It is denoted by $\varphi $ and the unit is Weber. The magnetic flux indicates the strength of magnetic lines that are produced by a magnet.
2. The region around a magnet where the moving charge experiences a force is called a magnetic field. It depends on the magnet.
3. The Magnetic flux starts from the north pole and ends at the south pole and they will never intersect each other. The lines of forces that are parallel to each other and in the same direction will repel each other.
4. The permeability depends on the shape and size of the pores in a substance.