Question

5.4. Two conducting wires of the same material an equal lengths, and equal diameters are first connecta in series and then in parallel in an electric circuit. Th ratio of the heat produced in series and parallel combinations would be : | (a) 1:2 (6) 2:1 (c) 1:4 (d) 4:1

11th - 12th Class

Maths

Solution

119

4.0 (1 ratings)

For series, let Resistance be ( R ) each, since same material thre, beth and dimensions are is tauce, will have same [ begin{array}{l} quad R_{e q}=2 R text { And for parallel } end{array} ] [ begin{aligned} R_{e q} &=frac{1}{frac{1}{R}+frac{1}{R}} &=frac{R}{2} end{aligned} ] Heat produced = i ( ^{2} R ) (where " is worent) matio is: [ frac{i^{2}(2 R)}{i^{2}left(frac{R}{2}right)}=4: 1 ]