MAGNETIC FLUX
The dot product of uniform magnetic field Band vector area Ā of the plane element is called magnetic flux. It is denoted by ΦB
ΦB = B . A
⇒ ΦB = BA Cos θ
Here A is a vector area of plane element whose direction is along the normal to the surface of the element and Ө is the angle between the directions of the vectors B and A.
MAXIMUM MAGNETIC FLUX
When the magnetic field is directed along normal to surface area (A) and parallel to vector area (Ā), Ө is zero, and the flux is maximum.
ФB = B.A = BA Cos O°
= BA (1)
= BA (max.)
MINIMUM MAGNETIC FLUX
When magnetic field B is perpendicular to vector area (Ā). Then Ө = 90° and the flux is minimum (Zero).
ΦB = B. A = BA Cos 90°
= BA (0)
= 0 (minimum).
MAGNETIC FLUX THROUGH CURVED SURFACE IN NON, A UNIFORM MAGNETIC FIELD
When the curved surface is placed in a uniform magnetic field, the curved surface is divided into a number of small surface elements each element assumed plane, and the flux through the whole curved surface is calculated by taking the sum of all contributions of the surface.
ΦB = BA = N / A x m ✖️ m²
NmA-1 = Wb (Weber)
MAGNETIC FLUX DENSITY
The magnetic flux per unit area of a surface perpendicular to is called magnetic flux density. It is also called magnetic induction or magnetic field strength. It is denoted by B.
ΦB = BA
B = ΦB / A
UNIT
B = ΦB / A = Wb / m² = Wbm-²
NA-1m-1 or Tesla
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Sources: PHYSICSBYSYEDIES