Question

The three resistance of equal value are arranged in the different combinations shown below.
Arrange them in increasing order of power dissipation.

• A. $|||<||<|V<|$
• B. $||<|||<|V<|$
• C. $|<|V<$ III $<$ II
• D. $|<|||<||<$ IV

Answer 1

The correct option is A $|||<||<|V<|$

Let each resistance $=R$

For I: $P_1=i^2{R}_{eq}=i^2(R+R+R)=i^2\left(3R\right)$

For II: $P_2=i^2{R}_{eq}=i^2\times \frac{R(R+R)}{R+(R+R)}=i^2\left(2R/3\right)$

For III: $P_3=i^2{R}_{eq}=i^2\left(R/3\right)$

For IV: $P_4=i^2{R}_{eq}=i^2\times (R/2+R)=i^2\left(3R/2\right)$

Thus, $P_3<P_2<P_4<P_1$