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NEET2026PhysicsChapterActual

A uniform wire of resistance R is cut into 6 equal segments. Three of these segments are connected in series to form a combination X . The remaining three segments are connected in parallel to form a combination Y . If X and Y are then connected in parallel with each other, what is the equivalent resistance of the entire arrangement?

Options

  1. AR 20
  2. B5R 9
  3. C3R 10
  4. DR 36

Correct answer

A. R 20

Step-by-step solution

Resistance of the uniform wire = R When cut into 6 equal segments, the resistance of each segment is r = R 6 Combination X consists of 3 segments in series. Resistance of X , R_X = 3r = 3 R 6 = R 2 Combination Y consists of 3 segments in parallel. Resistance of Y , R_Y = r 3 = 1 3 R 6 = R 18 Combinations X and Y are connected in parallel. The equivalent resistance R_ eq is given by: 1 R_ eq = 1 R_X + 1 R_Y 1 R_ eq = 2 R + 18 R = 20 R R_ eq = R 20 Answer: R 20

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