Question

Two conducting wires of same material, equal length and equal diameter are first connected in series and then in parallel. How does the heat produced by the combination of resistance change? In this question if we apply H=I2RT we get one answer and if we replace I=V/R we get different answer. Whether we should replace I by V/R. If so why?

Answer 1

Heat produced in the circuit is inversely proportional to the resistance R.
Let RS be the equivalent resistances of the wires if connected in series and RP  be the equivalent resistances of the wires if connected in parallelThen RS =R+R=2RAnd 1/ RP = 1/R +1/R       1/ RP = 2/ROr        RP =R/2Now the ratio of heat produced is given by        = 1/4