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 the force per unit charge at a particular point in space around a distribution of electric charges.
Linear Charge Density - (Measured in Coulomb per Meter) - Linear Charge Density is a measure of the amount of electric charge per unit length of a line charge in an electrostatic system.
Radius of Ring - (Measured in Meter) - Radius of Ring is the distance from the center of the ring to its edge, used to calculate electrostatic potential and electric field.
STEP 1: Convert Input(s) to Base Unit
Linear Charge Density: 1.1014E-05 Coulomb per Meter --> 1.1014E-05 Coulomb per Meter No Conversion Required
Radius of Ring: 329.941 Meter --> 329.941 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = (2*[Coulomb]*λ)/rring --> (2*[Coulomb]*1.1014E-05)/329.941
Evaluating ... ...
E = 600.039979513866
STEP 3: Convert Result to Output's Unit
600.039979513866 Volt per Meter --> No Conversion Required
FINAL ANSWER
600.039979513866 600.04 Volt per Meter <-- Electric Field
(Calculation completed in 00.004 seconds)

Credits

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Created by Muskaan Maheshwari
Indian Institute of Technology (IIT), Palakkad
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Electric Field due to Line Charge Formula

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

What is Electric line ?


An electric line, or electric field line, is a visual representation of the direction and strength of an electric field. The lines originate from positive charges and terminate on negative charges. The density of these lines indicates the strength of the electric field, and they never intersect each other.

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 formula is defined as a measure of the electric force per unit charge at a given point in space due to the presence of a line charge, which is a distribution of electric charge along a line, and is a fundamental concept in understanding the behavior of electric fields in various physical systems. 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 -> 60.004 = (2*[Coulomb]*1.1014E-05)/329.941.

FAQ

What is Electric Field due to Line Charge?
Electric Field due to Line Charge formula is defined as a measure of the electric force per unit charge at a given point in space due to the presence of a line charge, which is a distribution of electric charge along a line, and is a fundamental concept in understanding the behavior of electric fields in various physical systems and is represented as E = (2*[Coulomb]*λ)/rring or Electric Field = (2*[Coulomb]*Linear Charge Density)/Radius of Ring. Linear Charge Density is a measure of the amount of electric charge per unit length of a line charge in an electrostatic system & Radius of Ring is the distance from the center of the ring to its edge, used to calculate electrostatic potential and electric field.
How to calculate Electric Field due to Line Charge?
Electric Field due to Line Charge formula is defined as a measure of the electric force per unit charge at a given point in space due to the presence of a line charge, which is a distribution of electric charge along a line, and is a fundamental concept in understanding the behavior of electric fields in various physical systems 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 3 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 = ([Coulomb]*Charge)/(Separation between Charges^2)
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