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- For series combination
Total resistance R = R1 + R2 + …………..
So calculating the series resistance in the given combination we get
RS =R+R=2R————-(i)
For parallel combination
Total resistance 1/R = 1/R1 + 1/R2 + …………..
So calculating the parallel resistance in the given combination we get
1/ RP = 1/R +1/R
1/ RP = 2/R
RP =R/2———-(ii)
To find the ratio we will combine equations (i) and (ii) we get
Rp/Rs = (R/2)/2R = 1/4
The ratio of heat produced is 1/4
Hence the ratio of the resistances is 1/4
Hope it helps ya cheerio....
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