Electric Field due to Line Charge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Electric Field = (2*[Coulomb]*Linear Charge Density)/Radius of Ring
E = (2*[Coulomb]*λ)/rring
This formula uses 1 Constants, 3 Variables
Constants Used
[Coulomb] - Coulomb constant Value Taken As 8.9875E+9
Variables Used
Electric Field - (Measured in Volt per Meter) - Electric Field is defined as the electric force per unit charge.
Linear Charge Density - (Measured in Coulomb per Meter) - Linear charge density is the quantity of charge per unit length at any point on a line charge distribution.
Radius of Ring - (Measured in Meter) - Radius of Ring is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.
STEP 1: Convert Input(s) to Base Unit
Linear Charge Density: 6 Coulomb per Meter --> 6 Coulomb per Meter No Conversion Required
Radius of Ring: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = (2*[Coulomb]*λ)/rring --> (2*[Coulomb]*6)/5
Evaluating ... ...
E = 21570124301.52
STEP 3: Convert Result to Output's Unit
21570124301.52 Volt per Meter --> No Conversion Required
FINAL ANSWER
21570124301.52 2.2E+10 Volt per Meter <-- Electric Field
(Calculation completed in 00.004 seconds)

Credits

Created by Muskaan Maheshwari
Indian Institute of Technology (IIT), Palakkad
Muskaan Maheshwari has created this Calculator and 10 more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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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 Line Charge Formula

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

About the Electric Field due to line charge

The direction of electric field is a the function of whether the line charge is positive or negative. If λ < 0, i.e., in a negatively charged wire, the direction of E is radially inward towards the wire and if λ > 0, i.e., in a positively charged wire, the direction of E is radially out of the wire.
The magnitude of electric field intensity at every point on the curved surface of the cylinder is same, because all points are at the same distance from the line charge.

How to Calculate Electric Field due to Line Charge?

Electric Field due to Line Charge calculator uses Electric Field = (2*[Coulomb]*Linear Charge Density)/Radius of Ring to calculate the Electric Field, Electric Field due to line charge can be determined by using Gauss Law and by assuming the line charge in the form of a thin charged cylinder with linear charge density λ. Electric Field is denoted by E symbol.

How to calculate Electric Field due to Line Charge using this online calculator? To use this online calculator for Electric Field due to Line Charge, enter Linear Charge Density (λ) & Radius of Ring (rring) and hit the calculate button. Here is how the Electric Field due to Line Charge calculation can be explained with given input values -> 2.2E+10 = (2*[Coulomb]*6)/5.

FAQ

What is Electric Field due to Line Charge?
Electric Field due to line charge can be determined by using Gauss Law and by assuming the line charge in the form of a thin charged cylinder with linear charge density λ and is represented as E = (2*[Coulomb]*λ)/rring or Electric Field = (2*[Coulomb]*Linear Charge Density)/Radius of Ring. Linear charge density is the quantity of charge per unit length at any point on a line charge distribution & Radius of Ring is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.
How to calculate Electric Field due to Line Charge?
Electric Field due to line charge can be determined by using Gauss Law and by assuming the line charge in the form of a thin charged cylinder with linear charge density λ is calculated using Electric Field = (2*[Coulomb]*Linear Charge Density)/Radius of Ring. To calculate Electric Field due to Line Charge, you need Linear Charge Density (λ) & Radius of Ring (rring). With our tool, you need to enter the respective value for Linear Charge Density & Radius of Ring 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 Linear Charge Density & Radius of Ring. 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 = Surface Charge Density/(2*[Permitivity-vacuum])
  • 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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