Question

(c) Two conducting wires of the same material and of equal length and
equal diameters are first connected in series and then parallel in a
circuit across the same potential difference. Find the ratio of heat
produced in series and parallel combinations.​

Answer 1

     Answer:-

 (c) 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 parallel

Then RS =R+R=2R

And 1/ RP = 1/R +1/R

      1/ RP = 2/R

Or        RP =R/2

Now the ratio of heat produced is given by

Hs/Hp = V2/Rs (t)/V2/Rp (t)

= Rp/Rs

  = 1/4