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:

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Solution

Q.
$σ$ 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: [2024]

1 $\frac{σ}{ε_{0} R}$

2 $\frac{σ}{ε_{0}}$

3 $\frac{σ}{2 ε_{0}}$

4 $\frac{σ}{4 ε_{0}}$

Ans.
(2)

By Gauss law $\int \vec{E} \cdot d \vec{A} = \frac{q_{in}}{ε_{0}}$

$E d A = \frac{σ \times d A}{ε_{0}} \Rightarrow E = \frac{σ}{ε_{0}}$

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