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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
It is given that two conducting wire is of the same material having equal lengths and diameters, so the resistance of wires will be the same (say) .
It is given that both combinations are connected across the same potential so is the same for both combinations.
The ratio of heat produced in series to the heat produce in parallel is given by,
By putting values of and in equation (1), we get
So, the correct option is (c).
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