Question

If I₁, I₂ ,I₃ and I₄ are the respective r.m.s values of the time varying current as shown in figure the four cases I.II,III and IV in. Then identify the correct relations.

(A) I₁ = I₂ = I₃ = I₄ 

(B) I₃ > I₁ = I₂ > I₄ 

(C) I₃ > I₄ > I₂ = I₁ 

(D) I₃ > I₂ > I₁ > I₄

Answer 1

Correct option is (B) I₃ > I₁ = I₂ > I₄

In calculating the rms value, we square each value.  

Hence both A and B have same square value at every point.

Hence i_rmsA = i_rmsB

Here we have every value greater than that of I_rms in graph A or graph B.

∴ (i_rms)_C > I_A = I_B.