Electric Field due to Line Charge Calculator

Formula

The formula to calculate the electric field due to a line charge is:

\[ E = \frac{2 \cdot [\text{Coulomb}] \cdot \lambda}{r_{\text{ring}}} \]

Where:

\(E\) is the electric field in V/m.
\([\text{Coulomb}]\) is the Coulomb constant (approximately \(8.9875 \times 10^9 \, \text{N m}^2/\text{C}^2\)).
\(\lambda\) is the linear charge density in C/m.
\(r_{\text{ring}}\) is the radius of the ring in meters.

The electric field is the force per unit charge at a particular point in space around a distribution of electric charges.

Linear charge density is a measure of the amount of electric charge per unit length of a line charge in an electrostatic system.

The radius of the ring is the distance from the center of the ring to its edge, used to calculate electrostatic potential and electric field.

Let's assume the following values:

Using the formula:

\[ E = \frac{2 \cdot 8.9875 \times 10^9 \cdot 1.1014 \times 10^{-5}}{329.941} \approx 600.0400 \, \text{V/m} \]

The electric field is approximately 600.0400 V/m.