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What is the SI Unit of Electric Flux: Important Terms, Dimensional Formula, Sample Questions

Nikita Parmar

Updated on 09th May, 2023 , 6 min read

Electric Flux SI Unit Overview 

The number of electric field lines that pass a specific location is referred to as electric flux. It is assumed that electric field lines begin with positive charges and conclude with negative charges. Electric field lines pointing toward a closed surface are considered negative, whereas those pointing away from a closed surface are considered positive. 

Important Terms in SI Unit Electric Flux

Some of the major words used in the notion of electric flux must be understood in order to grasp the concept of electric flux. The following are the terms-

  1. An electric field is a field or space that exists around a stable or moving charge in the form of a charged particle or between two voltages. The other charged objects or particles in this space are likewise subjected to some force exerted by this field, the intensity, and kind of force being determined by the charge carried by the particle.
  2. Electric charge is a physical feature of matter that causes it to feel a force when it is in an electromagnetic field. It also allows the particle to have its own electric field. The charge of an electron is -1, while the charge of a proton is +1. Neutrons have a charge equal to zero and do not interfere with other electric charges.
  3. Electric displacement field: An electric displacement field, also known as electric induction, is a vector field that is employed in Maxwell's equation and is designated by the letter 'D' in physics.

What is Electric Flux?

Electric flux may be defined as the measure of the dispersion of the electric field or the pace at which the electric field flows across a specific region. This phrase is used to define the strength of an electric field at any distance from the charge creating the field. The concept of flux is commonly associated with the lines of force that travel through a certain place. Lines of force passing across a certain area's surface are thus determined by three factors-

  1. Area of Surface
  2. Surface orientation with reference to force lines
  3. The Strength of the Electric Field

In electromagnetism, electric flux is the measurement of the electric field lines traversing the surface. Although an electric field cannot flow by itself, it is a method of describing the intensity of the electric field at any distance from the charge that creates the field. 

SI Unit of Electric Flux 

Volt-meters are the SI unit of electric flux (V.m). Volt-metres (Vm), commonly known as newton meters squared per coulomb, is the SI unit of electric flux (N m² Cˉ¹). The standard units for measuring electric flux are kg.m³.sˉ³. Aˉ¹.

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SI Unit of Electric Flux: Dimensional Formula 

The dimensional formula for electric flux is M¹ L³ Tˉ³ Iˉ¹

Where,

M = Mass

I = Present

L stands for length.

T = Time

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SI Unit of Electric Flux: Derivation

Electric Flux (𝞥🇪) = E x A x cos 𝞡                                                                                      ... (1)

Where,

Magnitude of the Electric Field = E

Surface Area = A

The dimensional formula of area (A) = M⁰ L² T⁰                                                                      …(2)

Because the electric field = Force x Chargeˉ¹

So, the Electric Field Formula = (M¹ L¹ Tˉ²) x (I¹ T¹)ˉ¹

Electric Field Dimensional Formula = M¹ L¹ Tˉ³ Iˉ¹                                                                  ... (3)

In equation, substitute equations (2) and (3) in the (1) equation,

Electric Flux (𝞥🇪) = E x  A x cos 𝞡 or 𝞥🇪= [(M¹ L¹ Tˉ²) x (I¹ T¹)ˉ¹] x M⁰ L² T⁰ = M¹ L¹ Tˉ³ Iˉ¹ 

Thus, the electric flux dimensional formula is M¹ L¹ Tˉ³ Iˉ¹ 

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SI Unit of Electric Flux: Calculating 

The following are the steps for calculating electric flux-

  1. Make use of the electric flux formula. Electric Flux over a surface A is calculated by taking the dot product of the electric field and the area vectors E and A. 
  2. The product of two vectors is the magnitudes of the vectors multiplied by the cosine of the angle between them.
  3. The surface area vector A's size and direction must be calculated. 
  4. It should be noted that the surface area vector is always perpendicular to and extends outward from the surface.
  5. Add the magnitudes of the surface area vector and the electric field vector, as well as the cosine of the angle between them.
  6. The perpendicular component of the electric field to the surface area vector is the cosine of the angle between the two vectors multiplied by the electric field vector.
  7. Electric flux is measured in Newton meters squared per coulomb.

SI Unit of Electric Flux: Properties

Electric fields, also known as flux lines, are lines of force that exist around a charge and include the following characteristics:

  1. Flux lines frequently begin positively charged and conclude negatively charged.
  2. The strength of the electric field is determined by the number of flux lines.
  3. All of the flux lines are parallel to one another.
  4. Normally, flux lines enter or escape a charged surface.

Things to Keep in Mind

The following things should be kept in mind-

  1. The total number of electric field lines moving through a certain location in a unit of time is known as the electric flux. It is represented by the symbol 𝞥🇪.
  2. The Electric Flux (𝞥🇪) = E x A x cos 𝞡
  3. For a non-uniform electric field, the electric flux is measured.
  4. Volt meters are the SI unit for electric flux (V m).
  5. The unit of electric flux is Newton-meters squared per coulomb (N m² Cˉ¹).
  6. kg.m³.sˉ³. Aˉ¹is the fundamental base unit of electric flux.
  7. M¹ L³ Tˉ³ Iˉ¹ is the dimensional formula for electric flux.

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Sample Questions to Practice for SI Unit of Electric FLux

Q.1 What is the importance of electric flux? 

Q.2 Is there a connection between electric flow and area? 

Q.3 Is there a connection between electric flux and radius?

Q.4 Is distance a factor in the electric flux?

Q.5 Is electric flux equivalent to charge?

Q.6 Is electricity a vector or a scalar quantity? 

Q.7 What exactly is electric flux? When is the maximum electric flux? 

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Frequently Asked Questions

A flat surface is spun in a homogenous electric field. When does the peak of the electric field flow over the surface occur?

Ans. When the surface is perpendicular to the field, the answer is yes.

What is electric flux density and what units does it have?

Ans. Electric flux density is defined as the amount of electric flux traveling through a unit area perpendicular to the flux’s direction. The intensity of an electric field created by a free electric charge is measured by electric flux density.

What is the definition of electric flux and its SI unit?

Ans. The attribute of an electric field is electric flux. It is comparable to the number of forces that span a specific region. It is usually assumed that electric field lines begin with positive charges and end with negative charges. Negative field lines are directed into a closed surface, whereas positive field lines are directed away from a closed surface.

When should a positive flow across a surface be considered?

Ans. When the flux lines are pointed outwards, they are directed outwards.

Is the electric flow a scalar quantity?

Ans. Yes, it is a scalar quantity.

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