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Indian Institute of Technology (IIT), Palakkad
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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 2 Constants, 1 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
[Permitivity-vacuum] - Permittivity of vacuum Value Taken As 8.85E-12
Variables Used
Surface charge density - 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. (Measured in Coulomb per Meter²)
STEP 1: Convert Input(s) to Base Unit
Surface charge density: 1 Coulomb per Meter² --> 1 Coulomb per Meter² No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = σ/(2*[Permitivity-vacuum]) --> 1/(2*[Permitivity-vacuum])
Evaluating ... ...
E = 56497175141.2429
STEP 3: Convert Result to Output's Unit
56497175141.2429 Volt per Meter --> No Conversion Required
FINAL ANSWER
56497175141.2429 Volt per Meter <-- Electric Field
(Calculation completed in 00.003 seconds)

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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 and 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 -> 5.650E+10 = 1/(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 10 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 = Surface charge density/(2*[Permitivity-vacuum])
  • electric_field = 2*[Coulomb]*Linear charge density/Radius
  • electric_field = [Coulomb]*Charge/(Separation between Charges^2)
  • electric_field = [Coulomb]*Charge*Distance/(Radius^2+Distance^2)^(3/2)
  • electric_field_intensity = Force/Charge
  • electrostatic_potential = [Coulomb]*Electric Dipole Moment*cos(Angle between any two vectors)/(Magnitude of position vector^2)
  • electric_dipole_moment = Charge*Separation between Charges
  • electric_current = Number of free charge particles per unit volume*[Charge-e]*Cross sectional area*Drift Speed
Where is the Electric Field due to infinite sheet calculator used?
Among many, Electric Field due to infinite sheet calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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