Units of Electric Flux – Examples, Definition, Units, Conversion

Last Updated: July 12, 2024

Units of Electric Flux – Examples, Definition, Units, Conversion

Units of Electric flux

Electric flux is a key concept in electromagnetism, encapsulating the amount of electric field passing through a given area. To measure and describe electric flux effectively, we utilize specific units known as newton-meters squared per coulomb (N·m²/C) or alternatively, volt-meters (V·m).

What are Units of Electric Flux?

Electric flux, a pivotal concept in electromagnetism, measures the quantity of electric field passing through a given area. To accurately express this, the unit volt-meters (V·m) is predominantly used.

SI Unit of Electric Flux

volt-meter (V·m)

Electric flux, a key concept in electromagnetism, quantifies the amount of electric field that passes through a specific area. The SI unit for measuring electric flux is the volt-meter (V·m).

CGS Unit of Electric Flux

statvolt-centimeter (statV·cm)

In the Centimeter GramSecond(CGS) system, the unit used to measure electric flux differs from the SI system. The CGS unit for electric flux is the statvolt-centimeter (statV·cm).

Formula of Electric Flux

The formula for electric flux (Φ) is expressed as:

Φ = E · A · cos(θ)
  • Φ is the electric flux,
  • E is the electric field strength,
  • A is the area through which the field is passing,
  • θ is the angle between the electric field direction and the normal (perpendicular) to the surface.

This formula calculates how much electric field passes through a given area, incorporating the angle to account for the directional nature of the field.

List of Electric Flux Units

UnitSymbol
Volt-meterV·m
Newton-meter squared per coulombN·m²/C
Statvolt-centimeterstatV·cm

Volt-meter (V·m)

1 V·m = 1 N·m²/C

The volt-meter is the SI unit of electric flux, which quantifies the total electric field passing through a surface area. This unit measures how an electric field interacts with a defined area, reflecting the strength and direction of the field across that area. It is widely used in electromagnetism and various applications of electrical engineering.

Newton-meter squared per coulomb (N·m²/C)

1 N·m²/C = 1 V·m

Newton-meter squared per coulomb directly measures the electric flux as the product of electric field strength in newtons per coulomb and the area through which it passes in square meters. It provides an intuitive understanding of electric flux, showing the force-field interaction over an area relative to the charge involved. This unit is especially useful in theoretical physics and electrical engineering calculations.

Statvolt-centimeter (statV·cm)

1 statV·cm = 299.792 V·m

The statvolt-centimeter is the CGS unit for electric flux, still utilized in some specialized areas of physics. It measures electric flux in terms of statvolts (a CGS unit of electric potential) per centimeter squared, providing a comparison to the more commonly used volt-meters but adjusted for the CGS measurement system. This unit is beneficial for calculations and discussions within frameworks that require CGS units.

Conversion of Electric Flux Units

Conversion of Electric Flux Units
UnitVolt-meter (V·m)Newton-meter squared per coulomb (N·m²/C)Statvolt-centimeter (statV·cm)
Volt-meter (V·m)11Approx. 299,792
Newton-meter squared per coulomb (N·m²/C)11Approx. 299,792
Statvolt-centimeter (statV·cm)Approx. 0.00000334Approx. 0.000003341

Volt-meter to Newton-meter squared per coulomb

  • Conversion: 1 volt-meter (V·m) = 1 newton-meter squared per coulomb (N·m²/C).
  • Example: To convert 3 volt-meters to newton-meter squared per coulomb, use the direct equivalence.
  • 3 V·m = 3 N·m²/C

Volt-meter to Statvolt-centimeter

  • Conversion: 1 volt-meter (V·m) ≈ 299,792 statvolt-centimeter (statV·cm).
  • Example: To convert 5 volt-meters to statvolt-centimeters, multiply by approximately 299,792.
  • 5 V·m × 299,792 ≈ 1,498,960 statV·cm

Newton-meter squared per coulomb to Volt-meter

  • Conversion: 1 newton-meter squared per coulomb (N·m²/C) = 1 volt-meter (V·m).
  • Example: To convert 2 newton-meter squared per coulombs to volt-meters, use the direct equivalence.
  • 2 N·m²/C = 2 V·m

Newton-meter squared per coulomb to Statvolt-centimeter

  • Conversion: 1 newton-meter squared per coulomb (N·m²/C) ≈ 299,792 statvolt-centimeter (statV·cm).
  • Example: To convert 10 newton-meter squared per coulombs to statvolt-centimeters, multiply by approximately 299,792.
  • 10 N·m²/C × 299,792 ≈ 2,997,920 statV·cm

Statvolt-centimeter to Volt-meter

  • Conversion: 1 statvolt-centimeter (statV·cm) ≈ 0.00000334 volt-meter (V·m).
  • Example: To convert 50,000 statvolt-centimeters to volt-meters, multiply by approximately 0.00000334.
  • 50,000 statV·cm × 0.00000334 ≈ 167 V·m

Statvolt-centimeter to Newton-meter squared per coulomb

  • Conversion: 1 statvolt-centimeter (statV·cm) ≈ 0.00000334 newton-meter squared per coulomb (N·m²/C).
  • Example: To convert 100,000 statvolt-centimeters to newton-meter squared per coulombs, multiply by approximately 0.00000334.
  • 100,000 statV·cm × 0.00000334 ≈ 334 N·m²/C

FAQ’S

Is the SI unit of electric flux the weber?

No, the SI unit of electric flux is not the weber; it is the volt-meter (V·m), which quantifies the total electric field passing through a surface.

What is the SI unit of electric flux in terms of joules?

The SI unit of electric flux cannot be expressed in terms of joules, as joules measure energy, not electric flux.

Is A tesla A unit of electric flux?

No, a tesla is not a unit of electric flux; it is the SI unit for magnetic flux density, describing the concentration of magnetic field lines.

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Practice Test

What is the SI unit of electric flux?

Coulomb

Newton

Volt

Volt-meter

of 10

Which of the following units is equivalent to Newton-meter squared per coulomb?

 Volt-meter

Joule-meter

Coulomb-meter

 Tesla-meter

of 10

What is the dimensional formula of electric flux?

[MLT⁻²Q⁻¹]

 [ML²T⁻²Q⁻¹]

 [MLT⁻¹Q⁻²]

[ML²T⁻²Q]

of 10

If the electric field is measured in volts per meter, what is the unit of electric flux through a surface?

Volt

Coulomb

Newton

Volt-meter

of 10

How is electric flux related to the electric field and area vector?

It is the product of electric field and area vector

It is the sum of electric field and area vector

It is the difference between electric field and area vector

 It is the ratio of electric field and area vector

of 10

What is the unit of electric flux density?

Volt per meter

 Newton per coulomb

Coulomb per meter squared

Joule per meter squared

of 10

In the CGS system, what is the unit of electric flux?

Statvolt

Gauss

Dyne-centimeter

Statvolt-centimeter

of 10

What quantity does the unit Newton-meter squared per coulomb represent?

Electric potential

Electric flux

Electric charge

 Electric current

of 10

Which law directly involves electric flux?

Ohm's Law

Gauss's Law

Faraday's Law

Faraday's Law

of 10

If the electric field is uniform and the surface is flat, how is electric flux calculated?

E/A

E + A

E - A

 E·A

of 10

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