Question

An electric charge q is placed at the center of a cube of side ℓ. The electric flux on one of its faces will be ______.

Options

• `(6"q")/epsilon_"o"`

• `("q")/epsilon_"o"`

• `("q")/(6epsilon_"o")`

• `(2"q")/(3epsilon_"o")`

Answer 1

An electric charge q is placed at the center of a cube of side ℓ. The electric flux on one of its faces will be `underline(("q")/(6epsilon_"o"))`.

Explanation:

A cube have 6 faces so flux through one face is given by gauss law

For the cube

`phi = "q"/epsilon_"o"`

for the one side of a cube

`=> phi = "q"/(6 epsilon_"o")`