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Current Electricity: Cube Resistance – Diagonal MCQ

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Cube Resistance – DiagonalHardQuestion 31662

Question

12 equal resistors of R each form edges of a cube. Resistance between two diagonally opposite corners is:
  1. A
    R/2
  2. B
    5R/6
    Correct
  3. C
    7R/12
  4. D
    R/3

Correct answer

5R/6

Explanation

By symmetry and Kirchhoff's laws: R_diagonal = 5R/6. At each of the 3 corners adjacent to one input corner, current splits symmetrically.

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