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'Magnetic Force' (symbol: H), an obsolete term, which has been long replaced by the term, 'Magnetic Field Strength', is defined as the magnetomotive force per unit length of a magnetic circuit. It is measured in amperes per metre(A/m), although this is often spoken as 'ampere turns' per metre. And, no, it is not the same thing as 'magnetic force'.

(If you compare a magnetic circuit with an electric circuit, then 'magnetomotive force' is equivalent to 'electromotive force' -and, continuing the analogy, magnetic field strength is equivalent to 'voltage gradient'.)

Magnetomotive force is the product of the current flowing through a coil and its number of turns. It's unit is the ampere (A), but is often spoken as 'ampere turn'.

So, by way of example, suppose we have a magnetic circuit comprising a steel toroid of circumference 100 mm (0.1 m), around which a coil of 200 turns is uniformly wound. If a current of 0.5 A passes through the coil, then the magnetic field strengthwill be:

H = (I N) / circumference = (0.5 x 200) / 0.1 = 1000 A/m

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