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An infinite combination of resistors, each having resistance R=4 , is given below. What is the net resistance between the points A and B ? (Each resistance is of equal value, R=4 )

Options

  1. A0
  2. B2+2 5
  3. C2+ 5

Correct answer

B. 2+2 5

Step-by-step solution

Equivalent Resistance, array r y= R + R | y y= R + R y R +y y= R ^2+ R y+ R y R +y R y+y^2= R ^2+2 R y y^2-4 y-16=0 R _ eq or y=2+2 5 ohm array

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