Question

two conducting wires of the same material and of equal lengths and equal diameters are connected in series and then parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be​

Answer 1

Answer:

4:1

Explanation:

As the two materials are identical in all respects, their resistance will be equal. let their resistance be R, then:

in series, the equivalent resistance=2R and heat produced = I²2RT.......(1)(T=time, I=current)(from H=I²rt...joul's law)

in parallel, the equivalent resistence will be reduced to half R/2

therefore heat produced in this case= I²(R/2)T.......(2)

dividing equation one and two.....we get the required ratio as 4:1