Question

\( \sigma \) is the uniform surface charge density of a thin spherical shell of radius \( R \). The electric field at any point on the surface of the spherical shell is:

• A. \( \frac{\sigma}{\varepsilon_0 R} \)
• B. \( \frac{\sigma}{2 \varepsilon_0} \)
• C. \( \frac{\sigma}{\varepsilon_0} \)
• D. \( \frac{\sigma}{4 \varepsilon_0} \)

Hint:

For a spherical shell, the electric field on its surface depends solely on the surface charge density \( \sigma \) and the permittivity of free space \( \varepsilon_0 \), and is independent of the radius \( R \).