Magnetic Flux Linkage (Cambridge (CIE) A Level Physics): Revision Note

Magnetic flux linkage

• The magnetic flux linkage is a quantity commonly used for solenoids which are made of N turns of wire

• Magnetic flux linkage is defined as:

The product of the magnetic flux and the number of turns

• It is calculated using the equation:

$N\Phi =BAN$

• Where:

  • Φ = magnetic flux (Wb)

  • N = number of turns of the coil

  • B = magnetic flux density (T)

  • A = cross-sectional area (m²)

• The flux linkage NΦ has the units of Weber turns (Wb turns)

• As with magnetic flux, if the field lines are not completely perpendicular to the plane of the area they are passing through

• Therefore, the component of the flux density which is perpendicular is equal to:

$N\Phi =BAN\cos \left(\theta \right)$

• Where:

  • θ = angle between magnetic field lines and the line perpendicular to the plane of the area (degrees)