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JEE Main 2023 (13 Apr, Shift 1) · Electrical Power & Heating Effect

Electrical Power & Heating Effect question from JEE Main 2023 (13 Apr, Shift 1)

Q22JEE Main 2023 · 13 APR · SHIFT 1Medium

Electrical Power & Heating Effect

Different combination of 3 resistors of equal resistance $R$ are shown in the figures. The increasing order for power dissipation is:

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Answer: (b)

The same current $I$ enters each combination, so $P = I^2 R_{eq}$ and $P \propto R_{eq}$ .
$R_A = R/2 + R = 1.5R$ , $R_B = (2R \parallel R) = 2R/3$ , $R_C = R/3$ , $R_D = 3R$ .
$R_C < R_B < R_A < R_D$ .
So the answer is (b) $P_C < P_B < P_A < P_D$ .

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