Question

derivation of joules law of heating

Answer 1

We know that

      V = W / Q
=      W = VQ         ( i )

Also  , 
           V = IR               ( ii )
and     Q = It                 ( iii )

Putting ( ii ) and ( iii ) in ( i )
      
        W = IR * It
        W = $I^{2}$Rt

Since this work is done due to heat , therefore

       H = $I^{2}$Rt

H = Heat , I = Current , V = Potential Difference , R = Resistance , t = Time