Electric Field due to Infinite Sheet Calculator

⤿

✖Surface Charge Density is the quantity of charge per unit area, measured at any point on a surface charge distribution on a two dimensional surface.ⓘ Surface Charge Density [σ]

+10%

-10%

✖Electric Field is defined as the electric force per unit charge.ⓘ Electric Field due to Infinite Sheet [E]

⎘ Copy

👎

Formula

✖

Electric Field due to Infinite Sheet

Formula

`"E" = "σ"/(2*"[Permitivity-vacuum]")`

Example

`"1.4E^11V/m"="2.5C/m²"/(2*"[Permitivity-vacuum]")`

Calculator

LaTeX

Reset

👍

Download Electrostatics Formulas PDF PDF Image

Electric Field due to Infinite Sheet Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electric Field = Surface Charge Density/(2*[Permitivity-vacuum])
E = σ/(2*[Permitivity-vacuum])
This formula uses 1 Constants, 2 Variables

Constants Used

[Permitivity-vacuum] - Permittivity of vacuum Value Taken As 8.85E-12

Variables Used

Electric Field - (Measured in Volt per Meter) - Electric Field is defined as the electric force per unit charge.
Surface Charge Density - (Measured in Coulomb per Square Meter) - Surface Charge Density is the quantity of charge per unit area, measured at any point on a surface charge distribution on a two dimensional surface.

STEP 1: Convert Input(s) to Base Unit

Surface Charge Density: 2.5 Coulomb per Square Meter --> 2.5 Coulomb per Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = σ/(2*[Permitivity-vacuum]) --> 2.5/(2*[Permitivity-vacuum])

Evaluating ... ...

E = 141242937853.107

STEP 3: Convert Result to Output's Unit

141242937853.107 Volt per Meter --> No Conversion Required

FINAL ANSWER

141242937853.107 ≈ 1.4E+11 Volt per Meter <-- Electric Field

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Electricity and Magnetism » Electrostatics » Electric Field due to Infinite Sheet

Credits

Created by Muskaan Maheshwari

Indian Institute of Technology (IIT), Palakkad

Muskaan Maheshwari has created this Calculator and 10 more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< 13 Electrostatics Calculators

Electric Potential of Dipole

Go Electrostatic Potential = ([Coulomb]*Electric Dipole Moment*cos(Angle between any two vectors))/(Magnitude of Position Vector^2)

Electric Field for Uniformly Charged Ring

Go Electric Field = ([Coulomb]*Charge*Distance)/(Radius of Ring^2+Distance^2)^(3/2)

Electric Current given Drift Velocity

Go Electric Current = Number of Free Charge Particles per Unit Volume*[Charge-e]*Cross-Sectional Area*Drift Speed

Electrostatic Potential Energy of Point Charge or System of Charges

Go Electrostatic Potential Energy = ([Coulomb]*Charge 1*Charge 2)/Separation between Charges

Electric Force by Coulomb's Law

Go Electric Force = ([Coulomb]*Charge 1*Charge 2)/(Separation between Charges^2)

Electrostatic Potential due to Point Charge

Go Electrostatic Potential = ([Coulomb]*Charge)/Separation between Charges

Electric Field due to Line Charge

Go Electric Field = (2*[Coulomb]*Linear Charge Density)/Radius of Ring

Electric Field due to Point Charge

Go Electric Field = ([Coulomb]*Charge)/(Separation between Charges^2)

Electric Field due to Infinite Sheet

Go Electric Field = Surface Charge Density/(2*[Permitivity-vacuum])

Electric Field

Go Electric Field = Electric Potential Difference/Length of Conductor

Electric Field between Two Oppositely Charged Parallel Plates

Go Electric Field = Surface Charge Density/([Permitivity-vacuum])

Electric Dipole Moment

Go Electric Dipole Moment = Charge*Separation between Charges

Electric Field Intensity

Go Electric Field Intensity = Electric Force/Electric Charge

Electric Field due to Infinite Sheet Formula

Electric Field = Surface Charge Density/(2*[Permitivity-vacuum])
E = σ/(2*[Permitivity-vacuum])

About the Electric Field due to infinite sheet

For an infinite sheet of charge, the electric field will be perpendicular to the surface. So, only the ends of a cylindrical Gaussian surface will contribute to the electric flux. In this case a cylindrical Gaussian surface perpendicular to the charge sheet is used. The resulting field is half that of a conductor at equilibrium with this surface charge density.

How to Calculate Electric Field due to Infinite Sheet?

Electric Field due to Infinite Sheet calculator uses Electric Field = Surface Charge Density/(2*[Permitivity-vacuum]) to calculate the Electric Field, The Electric Field due to infinite sheet is derived by forming a cylindrical gaussian surface at a small area of the infinite sheet and by applying gauss law for the chosen surface. Electric Field is denoted by E symbol.

How to calculate Electric Field due to Infinite Sheet using this online calculator? To use this online calculator for Electric Field due to Infinite Sheet, enter Surface Charge Density (σ) and hit the calculate button. Here is how the Electric Field due to Infinite Sheet calculation can be explained with given input values -> 1.4E+11 = 2.5/(2*[Permitivity-vacuum]).

FAQ

What is Electric Field due to Infinite Sheet?

The Electric Field due to infinite sheet is derived by forming a cylindrical gaussian surface at a small area of the infinite sheet and by applying gauss law for the chosen surface and is represented as E = σ/(2*[Permitivity-vacuum]) or Electric Field = Surface Charge Density/(2*[Permitivity-vacuum]). Surface Charge Density is the quantity of charge per unit area, measured at any point on a surface charge distribution on a two dimensional surface.

How to calculate Electric Field due to Infinite Sheet?

The Electric Field due to infinite sheet is derived by forming a cylindrical gaussian surface at a small area of the infinite sheet and by applying gauss law for the chosen surface is calculated using Electric Field = Surface Charge Density/(2*[Permitivity-vacuum]). To calculate Electric Field due to Infinite Sheet, you need Surface Charge Density (σ). With our tool, you need to enter the respective value for Surface Charge Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Electric Field?

In this formula, Electric Field uses Surface Charge Density. We can use 5 other way(s) to calculate the same, which is/are as follows -

Electric Field = Electric Potential Difference/Length of Conductor
Electric Field = Surface Charge Density/([Permitivity-vacuum])
Electric Field = (2*[Coulomb]*Linear Charge Density)/Radius of Ring
Electric Field = ([Coulomb]*Charge)/(Separation between Charges^2)
Electric Field = ([Coulomb]*Charge*Distance)/(Radius of Ring^2+Distance^2)^(3/2)

Home

FREE PDFs

🔍 Search