Question

two conducting wires of the same material and of equal length and equal diameters are first connected in series and then parallel in circuit across the same potential difference what will be the ratio of heat produced in series and parallel combination

Answer 1

Heat produced is inversely proportional resistance.
Let Rs be the equivalent resistance if it I'd connected in series and let Rp be the resistance if it is connected in parallel.
Rs = R + R = 2R
1/Rp= 1/R + 1/R = 2/R
therefore, Rp= R/2
Now the ratio of heat produced is,
Hs/HP = V2t/Rs÷V2t/Rp
=Rp/Rs
=R/2÷ 2R
Hope this may help u...