Question

two conducting wires of same material and of equal length and equal diameter of first connected in series and then parallel in a circuit across the same potential difference the ratio of heat produced in series and parallel combination would be​

Answer 1

Answer:

Explanation:

Let resistance of each wire is R Ω.  if two wires are connected in series, then its equivalent resistance is 2R Ω .

 

If two wires are connected in parallel, then its equivalent resistance is R/2 Ω .

 

Let Current drawn by series combination = V/2R  = i Amps.

Current drawn by parallel combination = V / (R/2)  = 4i Amps

 

Heat produced in series combination = i2 2R = (2i2 R) Watts   ......................(1)

 

Heat produced in parallel combination = 16i2 (R/2)  = ( 8i2 R) Watts   ......................(2)

 

From eqn.(1) and (2), we get ratio of heat produced in series combination to heat produced in parallel combination = 1 :4