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What do you mean by magnetic flux?

seo-qna
Last updated date: 17th Apr 2024
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Answer
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Hint: The magnetic flux is defined as the dot product of magnetic field ‘B’ and Area vector ‘ A‘
i.e. $\phi = \overrightarrow B .\overrightarrow A $
Where $\phi $ is magnetic flux

Complete step by step answer:
Magnetic flux: The total number of magnetic field lines passing through a given area normal to it is called magnetic flux.
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Mathematically it is represented by $\phi $ and defined as the dot product of magnetic field vector and area vector i.e. given by
$\phi = \overrightarrow B .\overrightarrow A $
Where $\overrightarrow B $ is the magnetic field vector and $\overrightarrow A $ is the area vector
In terms of magnitude, it is given as
$\phi = B.A.\cos \theta $
Where $\theta $ is the angle between the magnetic field vector and the area vector.
Units:
The SI unit of magnetic flux is Weber (Wb) which is also written as $N - {m^2}$
The fundamental unit of magnetic flux is volts-second (V-s)
The CGS unit of magnetic flux is Maxwell.
The relation between a Maxwell and weber is –
1 Mx=${10^8}$Wb

Note:
One weber is defined as the flux that, when linking a circuit of one turn, produces an emf of 1 volt as it is reduced to zero at a uniform rate in one second. The physical significance of the magnetic flux is that it gives the total measurement of the magnetic field that can pass through a given area. It is a useful tool for helping describe the effects of the magnetic force on something occupying a given area.
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