Different combinations of three identical resistors R are shown. For the same current I through each complete combination, the increasing order of power dissipation is: Image
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Question

Different combinations of three identical resistors R are shown. For the same current I through each complete combination, the increasing order of power dissipation is: Image

G1 Physics · Accepted Answer

For fixed current I, P = I²Rₑq Equivalent resistances: A: Rₑq = R/2 + R = 3R/2 B: Rₑq = (2R·R)/(2R+R) = 2R/3 C: Rₑq = R/3 D: Rₑq = 3R Thus, Rᴅ > Rₐ > Rʙ > R꜀ Hence, P꜀ < Pʙ < Pₐ < Pᴅ Option A follows.