# Magnetic flux and Magnetic density

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