Two equal resistances R are joined with voltage source V in (i) series (ii) parallel, the ratio of electrical power consumed in two cases wll be

Step-by-step solution

(i) In series: total resistance =R+R=2 R Power consumed P₁= V^2 2 R (i) (ii) In parallel : potential difference across each resistance will be V So, power consumed in each resistance is P= V^2 R So total power consumed in two resistance is P₂= V^2 R + V^2 R = 2 V^2 R (ii) array r Hence, required ratio = P₁ P₂ = V^2 R 2 R 2 V^2 = 1 4 array