For ensuring dissipation of same energy in all t h r e e resistors (R₁, R₂, R₃ ) connected as shown in figure, their values must be related as

Step-by-step solution

As the voltage in R₂ and R₃ is same therefore, according to, H= V^2 R t, R₂=R₃ Also the energy in all resistance is same. i^2 R₁ t=i₁^2 R₂ t U sing h ₁= R₃ R₂+R₃ i= R₃ R₃+R₃ i= 1 2 i Thus i^2 R₁ t= i^2 4 R₂ t or, R₁= R₂ 4 .