Three identical resistors R in parallel have an equivalent resistance of R/3.

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Multiple Choice

Three identical resistors R in parallel have an equivalent resistance of R/3.

Explanation:
When resistors are in parallel, their conductances add up. Each resistor has conductance 1/R, so three identical resistors give total conductance 3/R. The equivalent resistance is the reciprocal of that: R_eq = 1/(3/R) = R/3. This is smaller than a single resistor because parallel paths allow more current to flow. The other values come from different arrangements: for example, all three in series would yield 3R, which is larger, not in parallel. So R/3 is the correct equivalent for three identical resistors in parallel.

When resistors are in parallel, their conductances add up. Each resistor has conductance 1/R, so three identical resistors give total conductance 3/R. The equivalent resistance is the reciprocal of that: R_eq = 1/(3/R) = R/3. This is smaller than a single resistor because parallel paths allow more current to flow.

The other values come from different arrangements: for example, all three in series would yield 3R, which is larger, not in parallel. So R/3 is the correct equivalent for three identical resistors in parallel.

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