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(a) The magnetic flux Φ linked with any surface placed in a magnetic field B is measured by the total of magnetic lines of force passing through it.
(b) Suppose magnetic field B makes an angle θ with the elemental area vector dA, then magnetic flux through the area,
(c) It is a scalar quantity with S.I. unit waber = 1Nm/A2 and C.G.S. unit is Maxwell or gauss.
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(d) The total magnetic flux Φ linked with complete area S is given by the algebraic sum of the magnetic fluxes linked with all elementary areas of the force, i.e.,
if 
(e) Here, magnetic flux linked with a surface may be defined as the product of the normal component of surface area and the magnetic field operating on the area. If may also be described as the dot product of magnetic field and surface area.
SPECIAL CASES
Flux through plane surface in uniform magnetic field:
Suppose a plane surface of area A is placed in a uniform magnetic field B when area vector and field vector makes an angle q between surfaces. The flux goes through plane surface
Flux through non-coplanar surface in uniform magnetic field:
If can be calculated by the area of projection perpendicular to the direction of surface, i.e., flux goes through equivalent plane field, then
Flux through a surface (plane or non-planer) in non uniform magnetic field:
It can be calculated by finding flux through each elemental area and then integrating the relative equation, i.e.,
Results:
(i) When q = 0 or p, f is maximum
(ii) When , Φ is minimum = 0
(iii) Magnetic flux goes through any packed surface is always zero.
(iv) Net flux through a surface, 
with sings where Φin = (-) ve and Φout = (+) ve
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