2 identical resistors are first connected in series and then in parall

1.	2 identical resistors are first connected in series and then in parallel to a source of supply. Find the ratio of heat produced in two cases
Answer» Answer: Ratio, $\dfrac{H_s}{H_p}=4$ Explanation: Let the resistance of the identical resistor is R. In series combination, the equivalent resistance is given by : $R_{eq}=R_1+R_2$ Here, two resistors are identical $R_{eq}=R+R=2R$ In parallel combination, the equivalent resistance is given by : $\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}$ $\dfrac{1}{R_{eq}}=\dfrac{1}{R}+\dfrac{1}{R}$ $R_{eq}=\dfrac{R}{2}$ Heat PRODUCED is given by : For series combination, $H_s=I^2(2R)t$ ....(1) For parallel combination, $H_p=I^2(R/2)t$ .........(2) Dividing equation (1) and (2) as : $\dfrac{H_s}{H_p}=4$ So, the ratio of heat produced in both CASES is 4 : 1. HENCE, this iss the REQUIRED solution.