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why is the charge on a charged sphere distributed uniformly over its surface

Answer :

Similar charges repel each other and thus are spread throughout the surface if the surface is conductive.

Answer:

As we know that all conductors are equipotential so we can say that all points lie on the surface of conductors will be at same potential.

So here we can say that

[tex]V = \frac{kQ}{R}[/tex]

[tex]V = \frac{Q}{4\pi \epsilon_0 R}[/tex]

now we will multiply numerator and denominator by radius R

so here we will have

[tex]V = \frac{QR}{4\pi R^2 \epsilon_0}[/tex]

now we know that

[tex]\sigma = \frac{Q}{4\pi R^2}[/tex]

so we have

[tex]V = \frac{\sigma R}{\epsilon_0}[/tex]

since potential is constant so here charge density and radius product will remain constant always

so here on spherical conductor the charge density will remain same at all points

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