What are (a) the charge and (b) the charge density on the surface of a conducting sphere of radius 0.12 m whose potential is 230 V (with V = 0 at infinity)?

(a) q=3.07 nC

(b) σ=17 nC/m²

Explanation:

Given data

Radius r=0.12m

Potential V=230 V

To find

(a) Charge q

(b) Charge density σ

Solution

For Part (a)

As we know that potential is:

Substitute the given values

For Part (b)

The charge density is given by:

σ=q/(4πr²)

Substitute the given values and value of q to find charge density

So

σ=17 nC/m²

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