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Updated on 09th October, 2023 , 3 min read
The total number of magnetic field lines passing through a given coil or area is referred to as the Magnetic Flux. It is a component of the magnetic field that flows through the coil. Magnetic flux is denoted by ΦB where B is a magnetic field and Weber (Wb) is its unit. The magnetic flux value is a vector quantity that depends on the magnetic field direction.
The magnetic flux formula is as follows:
ΦB = BACosΘ
ΦB = B.A
Where,
B = Magnetic field,
A = Surface area and
Θ = Angle between the magnetic field and normal to the surface.
It can be written as follows:
B = μH
B is a vector quantity.
B = F/I1
Here,
F = total force acting on the wire.
I = current flowing through the wire
l = length of wire
[MT−2L0A−1] is the dimensional formula of magnetic flux density
The dimensional formula of Magnetic Flux is given by,
[M1 L2 I-1 T-2]
Where,
M = Mass
I = Current
L = Length
T = Time
Magnetic Flux (ΦB) = B × A × Cos θ . . . . (1)
Magnetic Flux (ΦB) = B × A × Cos θ . . . . (1)
Where,
B = Magnetic Field,
A = Surface Area, and
= The angle formed by the magnetic field and the normal to the surface
The area dimensional formula = [M0 L2 T0].
Since, Force = Electric Charge × Magnetic Field × Velocity
Therefore, Magnetic Field = Force × [Electric Charge × Velocity]-1 . . . . . (2)
-> The dimensional formula of velocity = [M0 L1 T-1] . . . . . . . (3)
Since, charge = current × time
∴ The dimensional formula of electric charge = [M0 L0 I1 T1] . . . . . (4)
And, Force = M × a = M × [M0 L1 T-2]
∴ The dimensional formula of force = [M1 L1 T-2] . . . . (5)
On substituting equation (3), (4) and (5) in equation (2) we get,
Magnetic Field = Force × [Charge × Velocity]-1
Or, B = [M1 L1 T-2] × [M0 L0 I1 T1]-1 × [M0 L1 T-1]-1
As a result, the Magnetic Field dimensional formula is [M1 T-2 I-1]...
On substituting equation (6) in equation (1) we get,
Magnetic Flux = B × A × Cos θ
Or, ΦB = [M1 T-2 I-1] × [M0 L2 T0] (Since, θ is Dimensionless Quantity)
ΦB = [M1 L2 T-2 I-1]
Therefore, Magnetic Flux is dimensionally represented as [M1 L2 T-2 I-1].
To calculate the magnetic flux, we must first assume the field-line image of a magnet or a system of magnets.
A perpendicular uniform magnetic field (= 900) is applied to a rectangular plate with area 'A.'
The magnitude of the magnetic field is B, and it is a scalar product.
[M1 L2 T2 I1] = The SI unit and dimension of the magnetic flux.
In this dimension ,
M = mass
L = length
T = time
I = electric current
Weber is the SI-derived magnetic unit. It is also written in volt-second.
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The main distinction between magnetic flux and magnetic field is that the magnetic field refers to the area around the magnet where the force felt by the charge moving around it. On the other hand, the flux is the term used to describe the strength or quantity of the magnetic lines of forces that the magnet produces.
The magnetic flux has the following characteristics: it forms a loop that is closed. The North Pole is always where it begins, and the South Pole is where it ends. These numbers never cross paths with one another. Magnetic lines that are perpendicular to one another and present in the same direction repel one another.
The most basic definition of magnetic flux is B=ABdA. ΦB=∬AB⋅dA Φ B = ∬ A B ⋅ d A It is the sum of all magnetic fields that are flowing across microscopic dA elements.
Magnetic flux is the total number of magnetic field lines passing through a coil or area. It is the component of the magnetic field that travels through the coil that is most prevalent. B stands for a magnetic field, and Weber stands for the unit of that field’s magnetic flux, Wb.
Weber (Wb) is the SI unit of magnetic flux.
The amount of magnetic field that passes through a specific area, calculated with = BA cos, where B is the magnetic field strength over an area A at an angle with the perpendicular to the area electromagnetic induction: the process of inducing an emf (voltage) with a change in magnetic flux.
Magnetic flux is denoted by the symbol ΦB where, B = magnetic field and Weber (Wb) as it’s unit. The magnetic flux value is a vector quantity that depends on the magnetic field direction. The magnetic flux formula is, Φ B = B ⋅ A. Φ B = B A c o s θ
In electromagnetism, Lenz’s law states that an induced electric current flows in the opposite direction of the change that caused it. Heinrich Friedrich Emil Lenz (1804-65), a Russian physicist, discovered this law in 1834.
Magnetic flux is the amount of magnetic field that passes through a surface perpendicular to it. Changing magnetic flux generates an electromotive force, which causes electric current to flow through an electric circuit if it is near a wire.
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