electric field due to infinite sheet

Question

An infinite sheet of charge has surface charge density σ. What is the electric field at a point near the sheet?

RankGuru · Accepted Answer

1. **Gauss's Law Application**: Use a cylindrical Gaussian surface passing through the non-conducting sheet.
2. **Flux Calculation**: Flux $\Phi$ passes through both circular ends of the cylinder. $\Phi = 2EA$.
3. **Charge Enclosed**: $q = \sigma A$ (charge density $	imes$ area).
4. **Apply Law**: $2EA = \frac{\sigma A}{\epsilon_0}$.
5. **Final Expression**: $E = \frac{\sigma}{2\epsilon_0}$.
6. **Critical Property**: The field magnitude is **independent** of the distance from the sheet, making it a uniform field.

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electric field due to infinite sheet

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