Dimensional Formula of Magnetic Flux

Dimensional Formula for Magnetic Flux is, [M¹ L² I^-1 T^-2 ]

Magnetic Flux is the amount of magnetic field lines passing through a surface and is measured in Weber. The Dimensional Formula for Magnetic Flux is [M¹L²T^-2I^-1]. In this article, we will learn in brief about Magnetic Flux Definition, Formula, and others.

Magnetic Flux Definition

A surface’s total magnetic field flowing through it is measured by magnetic flux. It measures the magnetic field’s intensity in a specific area and is a crucial component in the comprehension of electromagnetic phenomena. The scalar quantity known as magnetic flux is denoted by the symbol Φ (phi).

Magnetic Flux Formula

The mathematical definition of magnetic flux (Φ) is the product of the magnetic field (B) passing through a surface and its area (A). The following is the formula:

Φ_B = B × A × Cos θ

Where,

• Φ is the Magnetic Flux
• B is the Magnetic Field
• A is the Area through which Magnetic Field Lines Passed
• θ is Angle between B and A

The fundamental relationship between magnetic flux, magnetic field strength, and the area under consideration of the magnetic field is demonstrated by this formula.

Unit of Magnetic Flux

Weber (Wb) is the unit of magnetic flux in the International System of Units (SI). One Weber is equal to one square meter (m²) times one Tesla (T). In mathematical notation, it is expressed as:

1 Wb = 1 T⋅m²

This unit offers a common basis for measurements in the field of electromagnetism and aids in the standardization of the measurement of the magnetic flux.

Dimensional Formula of Magnetic Flux

Amount of magnetic field lines that flow across a specific surface is known as the magnetic flux (Φ).

Dimensional Formula for Magnetic Flux is, [M¹ L² I^-1 T^-2 ]

where,

• M is Mass
• I is Current
• L is Length
• T isTime

Now, we can answer the question,

What is Dimensional Formula of Magnetic Flux?

The Dimensional Formula of Magnetic Flux is [M¹ L² I^-1 T^-2 ]

Let’s now calculate the dimensional formula of Magnetic Flux

Dimension Formula of Magnetic Flux Derivation

The formula to calculate the magnetic flux is,

(Φ_B) = B × A × Cos θ…(1)

Dimensional Formula of Area = [M⁰ L² T⁰]

Since force is equal to electric charge times magnetic field times velocity. Thus,

Magnetic Field = Force × [Electric Charge × Velocity]…(2)

Dimensional formula of Velocity = [M⁰ L¹ T^-1]……. (3)

As charge equals Current times Time,

Dimensional Formula of Electric Charge = [M⁰ L⁰ I¹ T¹]

Force = mass × acceleration

Dimensional Formula of Force is [M¹ L¹ T^-2]. … (5)

When we replace equations (3), (4), and (5) in equation (2), we obtain,

Magnetic Field: Force × [Velocity × Charge]

Now,

Φ_B = B × A × Cos θ

Φ_B = [M¹ T^-2 I^-1] × [M⁰ L² T⁰] = [M¹ L² T^-2 I^-1] (Considering that θ is a dimensionless quantity)

Thus, Dimensional Formula of magnetic flux is, [M¹ L² T^-2 I^-1]

Magnetic Flux – FAQs

1. What is the Dimensional Formula of Weber?

Weber is the unit of Magnetic Flux and the dimension of Weber is [M L ² T ^{– 2} A ^{– 1}].

2. What is the SI unit of Magnetic Flux?

The SI unit of Magnetic Flux is Weber and is written as ‘Wb’.

3. What is the Formula of Magnetic Flux Class 11?

The formula of magnetic flux class 11 is, (Φ_B) = B × A × Cos θ.

4. What is the Unit of Electric Flux and Dimensional Formula?

The unit of Electric Flux is Volt-meter(Vm) and Electric Flux is Dimensionally shown as [M¹ L³ T^-3 I^-1].