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Chapter 6: Q14P (page 323)

Obtain Coulomb鈥檚 law from Gauss鈥檚 law by considering a spherical surface未 with centre atq.

Short Answer

Expert verified

Coulomb's law isE=q4蟺蔚0r2R^

Step by step solution

01

Given Information.

A Spherical surface未 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鈭�E鈰�nd蟽=qin蔚0.

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

E鈰�4蟺r2=qin蔚0

Now, point radically outward the equation role="math" localid="1659183652852" E鈰�=qin4蟺r2蔚0.

Hence, Coulomb's law isE鈰�=qin4蟺r2蔚0r2r^

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