Total resistance in parallel is less than the smallest branch resistance.

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Multiple Choice

Total resistance in parallel is less than the smallest branch resistance.

Explanation:
In parallel, multiple paths for current effectively lower the overall resistance. The total conductance adds: 1 over the total resistance equals the sum of the conductances of each branch, 1/R_total = 1/R1 + 1/R2 + ... . Since every term 1/R_i is positive, their sum is larger than any individual 1/R_i, which makes 1/R_total larger than 1/R_min. Therefore R_total is smaller than the smallest branch resistance. For example, two equal resistors R in parallel give R/2, clearly less than R. The other statements describe series behavior or incorrect comparisons, so they don’t fit parallel arrangements.

In parallel, multiple paths for current effectively lower the overall resistance. The total conductance adds: 1 over the total resistance equals the sum of the conductances of each branch, 1/R_total = 1/R1 + 1/R2 + ... . Since every term 1/R_i is positive, their sum is larger than any individual 1/R_i, which makes 1/R_total larger than 1/R_min. Therefore R_total is smaller than the smallest branch resistance. For example, two equal resistors R in parallel give R/2, clearly less than R. The other statements describe series behavior or incorrect comparisons, so they don’t fit parallel arrangements.

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