Question

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 ______.

Options

• `sigma/(epsilon_0 R)`

• `sigma/(2 epsilon_0)`

• `sigma/(epsilon_0)`

• `sigma/(4 epsilon_0)`

Answer 1

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 `bbunderline(sigma/(epsilon_0))`.

Explanation:

Using Gauss law:

`int vec E * d vec A = Q/epsilon_0`

EdA = `(sigma xx dA)/epsilon_0`    ...[∵ Q = σdA]

⇒ E = `sigma/epsilon_0`