Question

two conducting wires of the same material and 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

Answer 1

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Answer 2

Answer:

The answer to your question is 1 : 4.

Explanation:

We know that the Heat (H) is inversely proportional to the Resistance (R).

Let the equivalent resistance connected in series be Rs

Let the equivalent resistance connected in parallel be Rp

So, Rs = R + R = 2R --------------- 1

1 / Rp = 1 / R + 1 / R = 2 / R

1 / Rp = 2 / R ---------------------- 2

Dividing 2 by 1,

1/Rp / Rs = 2R / 2 / R

Therefore,

Rs / Rp = 1/4

So the answer is 1 : 4.