What is magnetic flux and magnetic flux density? Please keep it simple.

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Magnetic flux is defined as the total number of magnetic field lines passing through a given area, measured in Webers. Magnetic flux density, or magnetic field strength, quantifies the number of these lines per square meter, expressed in Tesla. The relationship between magnetic flux and flux density is given by the formula ∅ = B x A, where ∅ is flux, B is flux density, and A is the area. The strength of a magnetic field is indicated by how closely the lines of force are packed together, with more lines per area signifying a stronger field. Understanding these concepts is essential for A-level physics studies.
martin glen
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Im revising for my A levels and I could really do with a simple, straight forward definition for magnetic flux and magnetic flux density. Can anyone please help? I'd be very grateful.

F=BIl

∅=BA
 
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Have you seen diagrams of magnetic fields or iron filings representations of magnetic fields?
They are represented by 'lines of force', these lines of force are given a unit in physics... they are called Webers and the lines of force are known as the 'flux'.
In these magnetic field pictures the strong part of the field is near the magnet poles where the lines(flux ,Webers) are close together, so strength is something to do with how close the lines (Webers) are. The more lines per square metre (Webers per squ metre) the stronger the magnet.
Webers per square metre is given a special name 'magnetic flux density' known as magnetic field strength. It is measured in Webers per square metre which is given a special name... Tesla... we love to commemorate physicists in physics by naming units after them.
So... flux (phi) represents 'number of lines' measured in Webers
Flux density B is 'number of lines/m^2...webers/m^2 or Tesla
so flux = B x A ... Webers = Tesla x m^2
Horrible, confusing mixture of units... hope this helps
 
Yeah that does help a lot, thank you!
 
so beautifully replied
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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