In an electric circuit, two resistances R and 2R are wired in parallel. The ratio of the thermal energy developed in R to that in 2R is

Step-by-step solution

When two resistances are connected in parallel, the potential difference V across them is the same. The thermal energy developed in a resistance R in time t is given by H = V^2 R t For the first resistance R₁ = R , the thermal energy is H₁ = V^2 R t For the second resistance R₂ = 2R , the thermal energy is H₂ = V^2 2R t The ratio of the thermal energy developed in R to that in 2R is H₁ H₂ = V^2 R t V^2 2R t = 2R R = 2 Thus, the ratio is 2 : 1