The three resistance of equal value are arranged in the different combination shown below. Arrange them in increasing order of power dissipation.
(I) (II)
(IV)

Options

A. `IIIltIIltIVltI`
B. `IIltIIIltIVltI`
C. `IltIVltIIIltII`
D. `IltIIIltIIltIV`

Answer

A

Explanation

(a) `III lt II lt IV lt I.`
,
Power dissipation, `P_1 = I^2(3R) = 3I^2R`

Power dissipation, `P_2 = I^2 ((2R)/3) = 0.67I^2R`
Power dissipation, `P_3 = I^2(R//3) = 0.33I^2R`
Power dissipation, `P_4 = I^2(3/2R) = 1.5 I^2R` .