Question

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. the ratio of heat produced in series and parallel combinations would be.plss answer with all correct steps​

Answer 1

Explanation:

Answer :-

Ratio of heat produced in series and parallel combinations would be 1 : 4

Explanation :-

Since the wires are made up of same material, have same length and equal diameters, so their resistances will be equal.

For series connection :-

Equivalent resistance (Rₛ) :-

⇒ Rₛ = R + R

⇒ Rₛ = 2R

Heat produced (H) :-

⇒ H = V²t/R

⇒ H = V²t/2R ----(1)

For parallel connection :-

Equivalent resistance (Rₚ) :-

⇒ 1/Rₚ = 1/R + 1/R

⇒ 1/Rₚ = 2/R

⇒ Rₚ = R/2

Heat produced (H') :-

⇒ H' = V²t/R

⇒ H' = V²t/(R/2)

⇒ H' = 2V²t/R ----(2)

________________________________

On dividing eq.1 by eq.2, we get :-

⇒ H/H' = V²t/2R × R/2V²t

⇒ H/H' = 1/4

⇒ H : H' = 1 : 4

Answer 2

Explanation:

hope it's helpful to you