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Chapter 6: Q14P (page 323)

Obtain Coulomb’s law from Gauss’s law by considering a spherical surfaceδ with centre atq.

Short Answer

Expert verified

Coulomb's law isE=q4πε0r2R^

Step by step solution

01

Given Information.

A Spherical surfaceδ with centre atq.

02

Definition of Coulomb's law.

Coulomb's law states that the force of attraction between the two charged bodies which is directly proportional to the product of their charges or inversely proportional to the square of the distance between the two objects.

03

Use the Gauss's law.

Consider the Gauss's law∮E⋅ndσ=qinε0.

Take the fiction closed surface to be a sphere surrounding the point charge of radius .

E⋅4πr2=qinε0

Now, point radically outward the equation role="math" localid="1659183652852" E⋅=qin4πr2ε0.

Hence, Coulomb's law isE⋅=qin4πr2ε0r2r^

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