Moderate

Three resistors of 6 ohms each, can be connected in all possible ways. The highest value of resistance that can be obtained (in ohms) is:

Correct answer: D. 18 Ohms

  • A. 2 Ohms
  • B. 4 Ohms
  • C. 9 Ohms
  • D. 18 Ohms
  • E. 36 Ohms

Explanation

If we connect all three in series, combined resistance will be 6+6+6=18(Series combination always gives the highest combined resistance)If we connect all three in parallel, combined resistance will be 1/6 + 1/6 + 1/6 = 1/R so R = 2 Ohms(This is the lowest possible combined resistance)This cancels options A, B, C and E since the highest possible resistance must be equal 18 Ohms.

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