How to derive the formula for heat produced due to electricity correctly from Joule's laws for heating?
From Joule's laws, we get this:
Now, we have to find/define the value of K. According to my book, when of current passes through a conductor of for , heat is produced. If that's the case, then from we get this:
Therefore, we get our nice little formula:
My question with the above derivation is, how did we find that when of current passes through a conductor of for , heat is produced? Through experimentation? What was the name of the experiment and who conducted it?