JEE Physics · Hard

Current Electricity: Resistor Network Cube MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Resistor Network CubeHardQuestion 31661

Question

12 equal resistors of R each form the edges of a cube. Resistance between two adjacent corners (connected by one edge) is:
  1. A
    R
  2. B
    7R/12
    Correct
  3. C
    5R/12
  4. D
    3R/4

Correct answer

7R/12

Explanation

By symmetry analysis (Kirchhoff's equations on the cube), R_adjacent = 7R/12. This is a classic JEE problem solved using symmetry to reduce unknowns.