Ques: $\sigma$ is the uniform surface charge density of a thin spherical shell of radius $R$. The electric…

Ques: $\sigma$ 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 :
  1. $\sigma / \epsilon_o R$
  2. $\sigma / \epsilon_o$
  3. $\sigma / 4 \epsilon_o$
  4. $\sigma / 2 \epsilon_o$

Solution


By Gauss law $\int \overrightarrow{\mathrm{E}} \cdot \mathrm{d} \overrightarrow{\mathrm{A}}=\frac{\mathrm{q}_{\mathrm{in}}}{\varepsilon_0}$ $\begin{aligned} & \mathrm{EdA}=\frac{\sigma \times \mathrm{dA}}{\varepsilon_0} \\ & \mathrm{E}=\frac{\sigma}{\varepsilon_0} \end{aligned}$

Asked in: JEE Main 2024 (06 Apr Shift 1)

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