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A charge q is placed at the center of a face of a cube. Calculate the electric flux through each...

Question:

A charge q is placed at the center of a face of a cube. Calculate the electric flux through each face of the cube.

Magnetic Flux:

The magnetic field lines generating from the magnetic field is known as the magnetic flux. The flux is the surface integral of the magnetic field density. The unit for the magnetic field is Weber. The magnetic flux shows the direction of the magnetic field lines.

Answer and Explanation:


Given data

  • The value of the charge on the center face of the cube is {eq}q {/eq}


The cube symmetry has all sides equal.

The flux generates on the each side of the cube is same.

The expression for the total flux generated on the cube is

$${\phi _{flux}} = \dfrac{q}{{{\varepsilon _0}}} $$

Here {eq}{\varepsilon _o} {/eq} is the permittivity.

The cube has six faces.

The value of the flux on each face of the cube is

$${\phi _{flu{x_{cube}}}} = \dfrac{1}{6} \times \dfrac{q}{{{\varepsilon _0}}} $$

Thus the value of the flux generated on each face of the cube is{eq}\boxed{\dfrac{q}{{6{\varepsilon _o}}}} {/eq}


Learn more about this topic:

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Lenz's Law, Magnetic Flux and Motional EMF

from GACE Physics (530): Practice & Study Guide

Chapter 23 / Lesson 9
7.7K

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