Question

An insulated conical shaped metallic conductor positively . The surface charge density on it is​

Answer 1

To find:

The surface charge density of an insulated conical shaped metallic conductor charged positively.

Calculation:

Lets assume that the conical metallic conductor has been charged with +q.

Now , surface charge density refers to the amount of charge present per unit surface area of the conductor.

• Let radius be r and slant height be l .

$\therefore \: \sigma \: = \dfrac{charge}{area}$

$\implies \: \sigma = \dfrac{q}{\pi rl + \pi {r}^{2} }$

$\implies \: \sigma = \dfrac{q}{\pi r(l + r) }$

So, the surface charge density is :

$\boxed{ \bf\: \sigma = \dfrac{q}{\pi r(l + r) } }$