What is the self inductance of a circular loop of wire?

[Auror]

If current I passes through a circular loop of radius R,then what will be the self inductance of that loop?
(calculating flux through the loop leads to calculating magnetic field at every point inside the loop which is an elliptic integral.)

 

[nasu]

See here, for example:

http://www.eeweb.com/toolbox/loop-inductance/

 

[Auror]

See here, for example:

http://www.eeweb.com/toolbox/loop-inductance/

I wanted the proof how the equation of L is derived. :/

 

[nasu]

Well, that equation is an approximation. The derivation may be in some old paper or maybe a specialized textbook.
Here is a derivation that still uses some aproximations, just to get an ideea of what it takes.
http://www.enigmatic-consulting.com.../More_elaborate_circular_coil_derivation.html