Unit of Electric Flux - Definition, Formula, FAQS

In this article we are going to learn about Electric flux, S.I unit of electric flux, Electric flux density , Unit of electric flux density and many more.

What is Electric Flux?

An electric field's property is electric flux.

It can be compared to the number of forces that cross a certain area.

Electric field lines are commonly thought to begin with positive charges and conclude with negative charges.

Negative field lines are those that are directed into a closed surface, whereas positive field lines are those that are directed out of a closed surface.
If no net charge exists within a closed surface, every field line directed into the surface passes through the interior and is usually directed outward elsewhere on the surface.

The negative flux just equals the positive flux in magnitude, resulting in a net or total electric flow of zero.

When a net charge is imprisoned inside a closed surface, the total flux through the surface is proportional to the enclosed charge, positive if the charge is positive and negative if the charge is negative.

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Gauss law

Gauss law for the electric field is the mathematical relationship between electric flux and the contained charge.

It's one of electromagnetism's fundamental rules.

The net flux of an electric field through any closed surface is usually equal to the enclosed charge, in coulombs, divided by a constant termed the permittivity of free space in the related meter-kilogram-second system and the International System of Units (SI).

The net flow of an electric field through any closed surface in the centimetre-gram-second system is equal to 4 times the contained charge, measured in electrostatic units (esu).

The number of electric field lines passing through a virtual surface determines the electric flux.

This can be explained using an equation.

The electric flux (ΦE)) travelling through a surface of vector area S if the electric field is homogeneous is:

Φ_E = E⋅S = EScosθ,

where E is the electric field's magnitude (in units of V/m), S is the surface's area and is the angle between the electric field lines and the normal (perpendicular) to S.

The electric flux dΦE through a small surface area dS in a non-uniform electric field is commonly indicated by:

dΦ_E=E⋅dS,

where E denotes the electric field, and A denotes the area component perpendicular to the field.

SI unit of electric flux

Voltmeters (V m), which is also equivalent to newton-meters squared per coulomb, are the SI base unit of electric flux (N m² C^-1)

Furthermore, kg·m³·s^-3·A^-1.is the fundamental unit of electric flux.

We now know that (N m² C^-1) is the SI unit for electric flux.

M = MASS.
L = LENGTH.
T = TIME.
I = CURRENT

As a result, we know that the SI unit of force ‘N/Newton' is represented in dimension as MLT⁻²

M ² represents the SI unit of meter

Length is represented in dimension as L² .
And ‘C’ the SI unit of charge is represented in dimension as M⁰ L ⁰ T ¹ I ¹ ,

As a result, the dimensional values are converted to the SI unit of electric flux. (N m² C^-1) we get, M·L³·T^-3·I^-1

Electric flux dimensional formula
Electric flux is a measure of the dispersion of the electric field through a specific surface in electromagnetism.

The electric flux dimensional formula is discussed earlier

[M L³ T⁻³ A⁻¹]

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Electric flux density

Electric flux density is the electric flux passing through a unit area perpendicular to the direction of the flux. Electric flux density is a measure of the strength of an electric field generated by a free electric charge.

Unit of electric flux density

Electric flux density is obtained by flux passing per unit area.

Unit of ϕ=Nm²/C

Unit of electric flux density=Nm²/C/m²=N/C

Conclusion

Electric flux is a scalar quantity

The SI unit of electric flux is (N m² C^-1)

The dimensional formula of electric flux is M·L³·T^-3·I^-1

Also, check-

• NCERT Exemplar Class 11th Physics Solutions
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NCERT Physics Notes:

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