Moderate

Which combinations of ten identical resistors each of 2 Ω gives rise to the resultant of 10.4 Ω?

Correct answer: A. 5 Parallel, 5 Series

  • A. 5 Parallel, 5 Series
  • B. 4 Parallel, 3 Series
  • C. 3 Parallel, 4 Series
  • D. 2 Parallel, 5 Series

Explanation

Use Ohm's Law to add parallel resistors. The equation is 1/RTotal = 1/R1 + 1/R2 + 1/R3 + ... + 1/RLast. Hence 5 X ½ = 5/2. Total Resistance through parallel is ⅖. When resistors are in series their individual resistance is added to get the total resistance. So 5 X 2= 10 Ω. Adding this gives 10.4 Ω.

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