Magnetic field density

   

Magnetic field density, otherwise known as magnetic flux density, is essentially what the layman knows as a magnetic field - akin to a gravitational or electric field. The SI unit of magnetic flux density is the tesla. 1 tesla = 1 weber / square metre.

It can be more easily explained if one work backwards from the equation: <math>B=\frac {F} {I l} \,<math>

where

B is the magnitude of flux density in teslas

F is the force in newtons experienced by a wire carrying

I amperes of current

l metres in length

Demonstration of the left hand rule
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Demonstration of the left hand rule

So, one can see for a magnetic flux density to equal 1 tesla, a force of 1 newton must act on a wire of length 1 metre carrying 1 ampere of current.

1 Newton is a lot of force, and is not easily accomplished. To put it in perspective: the most powerful superconducting electromagnets in the world have flux densities of 'only' 20T.

This is true obviously for both electromagnets and natural magnets, but a magnetic field can only act on moving charge - hence the current, I, in the equation.

Indeed, the equation can be played around with to incorporate moving single charges, ie protons, electrons, and so on via <math>F=BQv \,<math>

where

Q is 1 coulomb of charge

v is the velocity of that charge in metre per second

Fleming's left hand rule can be used to determine the direction of motion/current/polarity from any two of those, as seen in the example.

SI units

SI magnetism units

Edit (http://www.mywiseowl.com/index.php?title=Template:SI_magnetism_units&action=edit)

SI Derived units
Name Symbol Quantity Notes
weber Wb Magnetic flux
tesla T Magnetic flux density
ampere / metre A / m magnetic induction
ampere-turns / Weber A / Wb Reluctance
Henry per metre H / m Permeability
Magnetic susceptibility



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