Dimensional Formula of Electric Flux

While learning Electromagnetism, we have often heard the term Electric field. This flux is the manifestation of this electric field. If a charged particle like an electron is placed in an electric field, then an influence is exerted on the surrounding charged particles.

This influence is termed the Electric field. There is no existence of field lines in reality. However, to make it easy to understand, we draw field lines. 

Electric Flux meaning

Electric Flux tells us the number of field lines crossing an area. If any surface open or closed is placed in an electric field, then the number of electric field lines that cross the surface represents the electric flux. For an open surface, the net flux is non zero whereas, for a closed surface (for example, electric flux sphere, cube, etc.), the net electric flux is zero. The scalar product of electric field and surface area gives the electric flux.

Electric flux is a scalar quantity as we only measure the number of electric field lines.

Electric Flux Formula

The electric flux is the total number of electric field lines passing through a given area in a given amount of time. The total flux is provided as follows when the plane is normal to the field’s flow:

ϕ = EA

The electric flux is the total number of electric field lines passing through a given area in a given amount of time if the plane is not normal to the flow of the electric field, then.

ϕ = EAcosΘ. Where the letter E denotes the electric field’s magnitude, and the plane’s area is denoted by A.

The angle formed between the plane and the axis parallel to the direction of the electric field’s flow is denoted by the Ɵ symbol.

Dimensional Formula of Electric Flux

According to the above definition we can define electric flux as

Φ = E.S.cosθ 

E = electric field 

S = area area 

Θ = angle between electric field and area vector

So, the dimension of electric flux is = dimension of electric field x area.

E = F/q 

So, dimension of E = [MLT-2]/[IT] = [MLT-3I-1]

So, dimension of Φ = [MLT-3I]x[L2] = [ML3T-3I-1]

Therefore, the dimension of Electric Flux is  [ML3T-3I-1].

Types of Flux

There are different types of flux such as Mass Flux, Momentum Flux, Electric Flux, Magnetic Flux, Heat Flux, Luminous Flux, Radiant Flux, and Acoustic Flux.

1. Magnetic flux refers to the number of times the magnetic field lines pass through a closed plane. 

2. Electric Flux refers to the number of times the electric field lines pass through a closed plane.

3. Luminous flux refers to the line of visually transmitted radiated sensible energy per second.

4. Energy or Radiant Flux refers to the radiated transmitted energy per second coming from any energy source.

5. Heat Flux refers to the transfer of heat energy via an elementary plane per second.

6. Mass Flux is the rate at which the mass flows per unit surface.

7. Momentum Flux refers to the momentum flow across unit area given per second. 

8. Acoustic flux refers to the sound energy flow via the unit surface given per second.

SI unit of electric flux

Voltmeters (V m) is the SI base unit of electric flux that is the same as the newton-metres squared per coulomb ( Nm2/C). Besides that, kg·m3·s-3·A-1 is the base unit of electric flux.

Conclusion :

In these notes of the Dimension formula for Electric Flux, we learned how to deduce a dimensional formula for Electric flux and some basic concepts. The word “Flux” originates from the word “Fluxus”, a Latin Word meaning flow. The word was first used under the name “fluxion”, by Isaac Newton in differential calculus. In physics, Flux refers to the effects that travel or pass through the substance or the plane. It can be thought of as imaginary lines passing through the physical quantity it can travel. It refers to the concept in vector calculus and applied mathematics with various applications in physics.