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Is magnetic effect directly or indirectly proportional to area?
We now know that the lines of force or the magnetic flux around a magnetic material is given as the Greek symbol, Phi, (Φ) with the unit Weber, (Wb) named after 'Wilhelm Eduard Weber'. But, the number of lines of force within a given unit area is called the "Flux Density" and since flux (Φ) is measured in (Wb) and area (A) in metres squared, (m2), therefore the flux density is measured in $\frac{Weber}{{m}^{2}}$ or $(\frac{Wb}{{m}^{2}})$ and is given the symbol B.
However, when flux density is referred in magnetism, the unit of flux density is given as Tesla after 'Nikola Tesla', therefore, one $\frac{Wb}{{m}^{2}}$ is equal to one Tesla, $\frac{1Wb}{{m}^{2}}=1T$. Flux density is directly proportional to the lines of force and inversely proportional to the area so Flux Density can be defined as:
$B=\frac{\varphi }{A}$
Where,
B = Magnetic Flux Density (measured in Tesla)
Φ = Magnetic Lines or Flux lines (measured in webers)
A = Area (measured in meter)
So, from the above equation, we can say that the magnetic effect or Magnetic Flux Density is indirectly proportional to the area.
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