Question:

A charge is placed at the centre of cube of side a then flux linked with one of its given faces will be

Updated On: Jun 23, 2023
  • $\frac{Q}{\varepsilon_{0}}$
  • $\frac{Q}{6\varepsilon_{0}}$
  • $\frac{Q}{\varepsilon_{0}a^{2}}$
  • $\frac{Q}{4\pi\varepsilon_{0}a^{2}}$
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The Correct Option is B

Solution and Explanation

Gauss?s law tells that the total flux through an area enclosing a charge Q is $\frac{Q}{\varepsilon_{0}}.$ Now as the cube is having six faces and as we can assume a symmetrical distribution of fluxes among its faces, the flux associated with one of its faces is $\frac{Q}{6\varepsilon_{0}}.$
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Concepts Used:

Electric charges and field

What is Electric Charge

It is the property of subatomic particles that experiences a force when put in an electric and magnetic field.

What is Electric Field

It is a property associated with each point in space when charge is present in any form. The magnitude and direction of the electric field are expressed by E, called electric field strength or electric field intensity.

Electric charges are of two types: Positive and Negative. It is commonly carried by charge carriers protons and electrons.

Properties of Electric Charge

Various properties of charge include the following :-

Types of electric charge

Two kinds of electric charges are there :-

Negative Charge - When an object has a negative charge it means that it has more electrons than protons.

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When there is an identical number of positive and negative charges, the negative and positive charges would cancel out each other and the object would become neutral.