Ques: σ is the uniform surface charge density of a thin spherical...

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 : Ques: σ is the uniform surface charge density of a thin spherical shell of radius R . The electric field at any point

Ques: σ is the uniform surface charge density of a thin spherical shell of radius R . The electric field at any point

Options

A $\sigma / \epsilon_o R$
B $\sigma / \epsilon_o$
C $\sigma / 4 \epsilon_o$
D $\sigma / 2 \epsilon_o$

Correct answer

B. $\sigma / \epsilon_o$

Step-by-step 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}

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