Question

Two conducting wires of the same material and of equal lengths and equal diameters are first 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 : (a) 1 : 2 (b) 2 : 1 (c) 1 : 4 (d) 4 : 1​

Answer 1

Answer:

d.)

is correct option is correct

please check

Answer 2

Answer is option c) 1:4 .

Total resistance R = R1 + R2 + …………..

So calculating the series resistance in the given combination we get

RS =R+R=2R————-(i)

For parallel combination

Total resistance 1/R = 1/R1 + 1/R2 + …………..

So calculating the parallel resistance in the given combination we get

1/ RP = 1/R +1/R

1/ RP = 2/R

RP =R/2———-(ii)

To find the ratio we will combine equations (i) and (ii) we get

Rp/Rs = (R/2)/2R = 1/4

The ratio of heat produced is 1/4

Answer

Hence the ratio of the resistances is 1/4