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Q112 (CAPF/2026) Science & Technology › Basic Science (Physics, Chemistry, Biology)

Which combination of three resistors R1, R2 and R3 has minimum total resistance? (Consider R1 = 12, R2 = 2 22 and R3 = 322)

Result
Your answer: —  ·  Correct: A

Explanation

In electrical circuits, the total (equivalent) resistance depends on how the resistors are configured:

  • Parallel Connection: The reciprocal of the total resistance is the sum of the reciprocals of individual resistances (1/Rtotal = 1/R1 + 1/R2 + 1/R3). This configuration always yields the minimum total resistance, which is guaranteed to be smaller than the smallest individual resistor in the set.
  • Series Connection: The total resistance is the sum of individual resistances (Rtotal = R1 + R2 + R3). This results in the maximum possible total resistance.
  • Mixed Connections: Combinations (like those in options C and D) result in resistance values that are higher than the pure parallel arrangement but lower than the pure series arrangement.

Regardless of the specific values of R1, R2, and R3, the parallel combination will always provide the minimum resistance.

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