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
141242937853.107 1.4E+11 Volt per Meter <-- Electric Field
(Calculation completed in 00.020 seconds)
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Created by Muskaan Maheshwari
Indian Institute of Technology (IIT), Palakkad
Muskaan Maheshwari has created this Calculator and 10 more calculators!
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Electric Force = ([Coulomb]*Charge 1*Charge 2)/(Separation between Charges^2)
Electrostatic Potential due to Point Charge
Electrostatic Potential = ([Coulomb]*Charge)/Separation between Charges
Electric Field due to Line Charge
Electric Field = (2*[Coulomb]*Linear Charge Density)/Radius of Ring
Electric Field due to Point Charge
Electric Field = ([Coulomb]*Charge)/(Separation between Charges^2)
Electric Field due to Infinite Sheet
Electric Field = Surface Charge Density/(2*[Permitivity-vacuum])
Electric Field
Electric Field = Electric Potential Difference/Length of Conductor
Electric Field between Two Oppositely Charged Parallel Plates
Electric Field = Surface Charge Density/([Permitivity-vacuum])
Electric Dipole Moment
Electric Dipole Moment = Charge*Separation between Charges
Electric Field Intensity
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)
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