Two conducting wired of same materail , length and diameter are connected first in series and second inparallel . the ratio of heat produced in both the cases is ?
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let the both wires be of resistance 'r'
The Net resistance when they are connected in series(R) is r+r=2r whereas when they are connected in parallel(R')=> 1/R'=1/r+1/r=2/r =>R'=r/2
The formula for heat generated(H)=I²R ///here R is for simple resistance
Therefore the ratio of the heat generated in the 1st case to the 2nd will be
(I²R)/(I²R')=R/R'=4:1
The Net resistance when they are connected in series(R) is r+r=2r whereas when they are connected in parallel(R')=> 1/R'=1/r+1/r=2/r =>R'=r/2
The formula for heat generated(H)=I²R ///here R is for simple resistance
Therefore the ratio of the heat generated in the 1st case to the 2nd will be
(I²R)/(I²R')=R/R'=4:1
chrisle:
I hope it Helps!
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