Surface Charge Density Calculator, Formula, Surface Charge Calculation

Surface Charge Density Calculator:

Enter the values of total charge over the surface, q_(C) and total area, A_(m2) to determine the value of Surface charge density, CD_(C/m2).

Surface Charge Density Formula:

Surface charge density represents the amount of electric charge per unit area on a surface, typically measured in coulombs per square metre.

It quantifies how densely the electric charge is packed on a given surface area.

Higher surface charge density indicates a greater concentration of charge in a specific area, influencing the electric field strength near the surface.

The total charge acts like a source, influencing the surface charge density. More charge in the same area leads to higher surface charge density.

More electrons (negative charges) or more protons (positive charges) on the surface per unit area indicate a higher surface charge density, impacting the electric field distribution.

The surface acts like a container for the charge. A smaller area with the same amount of charge results in higher surface charge density.

Surface charge density, CD_(C/m2) in Coulombs per square metres is calculated by dividing the total charge over the surface, q_(C) in Coulombs by total area, A_(m2) in square metres.

Surface charge density, CD_(C/m2) = q_(C) / A_(m2)

CD_(C/m2) = surface charge density in Coulombs per square metres, C/m².

q_(C) = total charge over the surface in Coulombs, C.

A_(m2) = total area in square metres, m².

Surface Charge Density Calculation:

1. Find Surface Charge Density:

Given: q_(C) = 0.004C, A_(m2) = 2m².

Surface charge density, CD_(C/m2) = q_(C) / A_(m2)

CD_(C/m2) = 0.004 / 2

CD_(C/m2) = 0.002C/m².

2. Find total charge over the surface:

Given: CD_(C/m2) = 0.01C/m², A_(m2) = 1.5m².

Surface charge density, CD_(C/m2) = q_(C) / A_(m2)

q_(C) = CD_(C/m2) * q_(C)

q_(C) = 0.01 * 1.5

q_(C) = 0.015C.

Concept of surface charge density | Electrostatics