The formula to calculate the Electric Field due to an Infinite Sheet given its surface charge density is:
\[ \text{Electric Field} = \frac{\sigma}{2 \cdot \text{Permittivity of Vacuum}} \]
The Electric Field in a Sheet is the strength of the electrostatic force per unit charge at a given point on the sheet. The Surface Charge Density is the quantity of electric charge per unit area of a surface, typically measured in coulombs per square meter.
Let's assume the following value:
Using the formula:
\[ \text{Electric Field} = \frac{5.31E-09}{2 \cdot 8.85E-12} \approx 300 \, \text{volts per meter} \]
The Electric Field is approximately 300 volts per meter.
| Surface Charge Density (coulombs per square meter) | Electric Field (volts per meter) |
|---|---|
| 5.0E-9 | 282.485875706214699 |
| 5.1E-9 | 288.135593220338990 |
| 5.2E-9 | 293.785310734463280 |
| 5.3E-9 | 299.435028248587571 |
| 5.4E-9 | 305.084745762711862 |
| 5.5E-9 | 310.734463276836152 |
| 5.6E-9 | 316.384180790960443 |
| 5.7E-9 | 322.033898305084790 |
| 5.8E-9 | 327.683615819209081 |
| 5.9E-9 | 333.333333333333371 |