Understanding Magnetic Flux: Visualization & Beyond

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Magnetic flux is defined as the total number of magnetic field lines passing through a specified surface area. It can be visualized similarly to electric flux, where the magnetic field replaces the electric field. To calculate magnetic flux, one must consider the dot product of the magnetic field vector B with the surface area vector A, which is normal to the surface. The surface integral is used to sum the magnetic flux across all area elements on the surface. Understanding this concept is crucial for grasping more complex electromagnetic principles.
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What is the definition of Magnetic Flux?

My textbook tells me that it may be 'visualised as the total number of magnetic field lines rather tan their concentration... be aware that this is NOT a definition.'

thank you
 
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Have you learned what is electric flux yet? If so, magnetic flux is the same as electric flux when you replace the electric field with a magnetic one. But probably you haven't since otherwise you would have understood it easily. Just think of it this way: Suppose you have a magnetic field and you want to know how much of the magnetic field passes through a specified plane surface. Just visualise it as magnetic field lines passing through that plane surface. The magnetic flux would then be the dot product of the magnetic field B with the surface area represented as a vector A normal to the surface. The surface integral is used to represent the summation of all the magnetic flux measured at any area element dA on your surface.

See: http://en.wikipedia.org/wiki/Magnetic_flux
 
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