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In a circuit with resistors connected in series, the total resistance is given by Rs = nR. What is the equivalent resistance when the same resistors are connected in parallel?

  1. In parallel, Rp = 1 / R + 1 / R + ... for n terms
  2. The ratio Rs / Rp equals n²
  3. The total resistance in series is Rs = nR
  4. The equivalent resistance in parallel is Rp = R / n

Correct answer: The equivalent resistance in parallel is Rp = R / n

Solution

In a parallel combination of resistors, the equivalent resistance is given by Rp = R/n when all resistors have the same resistance R and there are n resistors. This matches option D.

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