Question

6. You take two resistors of resistance 2R and 3R and connect them in parallel in an electric circuit. Calculate the ratio of the electrical power consumed by 2R and 3R?

Answer 1

both regostor connected in parallel therefore voltage in both same suppose V
so Current in 2R (I1)= V/2R
current in 3R (i2) = V/3R
power in 2R (P1) = V*I1 =V*V/2R
power in 3R (P2) =V*i2 = V*V/3R
so P1/P2 =( V*V/2R)/(V*V/3R) =3/2
so P1/P2 = 3/2

Answer 2

take p1 and p2 =v^2/R1,v^2/R2

v^2/2R*3R/v^2 so 3R/2R=3:2