Two conducting wires of the same material and of equal length and equal diameters are first connected in series and then in parallel in an electric circuit. The ratio of the heat produced in series and parallel combinations would be :

Options

A. `1:2`
B. `2:1`
C. `1:4`
D. `4:1`

Explanation

To solve the problem of finding the ratio of heat produced in series and parallel combinations of two conducting wires of the same material, equal length, and equal diameters, we can follow these steps:

### Step 1: Determine the Resistance of Each Wire
Since both wires are made of the same material and have the same length and diameter, they will have the same resistance, denoted as \( R \).

### Step 2: Calculate the Equivalent Resistance in Series
When the two wires are connected in series, the equivalent resistance \( R_s \) is the sum of the individual resistances:
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