Six resistors of 3 Ω each are connected along the sides of a hexagon and three resistors of 6 Ω each are connected along AC, AD and AE as shown in the figure. The equivalent resistance between A and B is equal to

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Accepted Answer

(1) 2 Ω. Reduce the network from the far corner F towards B. A→ F→ E: 3+3=6 Ω, in parallel with AE=6 Ω: 3 Ω between A and E. Add ED=3 Ω: 6 Ω, in parallel with AD=6 Ω: 3 Ω between A and D. Add DC=3 Ω: 6 Ω, in parallel with AC=6 Ω: 3 Ω between A and C. Add CB=3 Ω: 6 Ω, in parallel with AB=3 Ω. R_AB=(6×3)/(6+3)=2 Ω.

Six resistors of 3 Ω each are connected along the sides of a hexagon and three resistors of 6 Ω each are connected along AC, AD and AE as shown in the figure. The equivalent resistance between A and B is equal to

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