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Two conducting wires of the same materia...

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 :

Text Solution

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Total resistance in series, `R_(1) = R + R = 2R`,
Total resistance in parallel, `R_(2) = (R xx R)/(R + R) = R/2`
For a given potential difference `H prop 1//R`
So, `H_(1)/H_(2) = R_(2)/R_(1) = (R//2)/(2R)=1/4`
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