CBSE Class 10 Answered
Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then in parallel in a circuit across the same potential difference. What will be the ratio of heat produced in series and parallel combination?
Asked by adalroshan2464 | 27 Mar, 2019, 04:10: PM
Expert Answer
Let resistance of each wire is R Ω. if two wires are connected in series, then its equivalent resistance is 2R Ω .
If two wires are connected in parallel, then its equivalent resistance is R/2 Ω .
Let Current drawn by series combination = V/2R = i Amps.
Current drawn by parallel combination = V / (R/2) = 4i Amps
Heat produced in series combination = i2 2R = (2i2 R) Watts ......................(1)
Heat produced in parallel combination = 16i2 (R/2) = ( 8i2 R) Watts ......................(2)
From eqn.(1) and (2), we get ratio of heat produced in series combination to heat produced in parallel combination = 1 :4
Answered by Thiyagarajan K | 27 Mar, 2019, 05:04: PM
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