take ratio of heat produced when two identical resistors of resistance R with the potential difference of V for time T are connected in series and parallel combination
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Let the resistor be R
so when connected in series :
R + R = 2R
When connected in parallel :
1/R + 1/R = 2/R = R/2
Ratio = 2R / (R/2)= 4:1
Heat produced when in series :
I^2R T = I^2 2RT
Heat produced when in parallel:
I^2 R T = I^2 R/2T
so heat produced in series combination is 4 times than heat produced in parallel
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