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If the electric field of a point charge were proportional to 1>r3 instead of 1>r2, would Gauss’s law still be valid? Explain your reasoning. (Hint: Consider a spherical Gaussian surface cantered on a single point charge.)

Short Answer

Expert verified

No, The Gauss’s law won’t be valid if the electric field is proportional to1r3

Step by step solution

01

Relation between electric flux and electric field

The electric field equation when=1r3will be14πε0qr3

Now from gauss law we know that the relation between electric flux and the electric field and the charge is: role="math" localid="1663933522142" E=EA=14πε0qε04πr2=q0

Therefore, it is proved that gauss law is not valid when electric field is proportional to1r3

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