Explanation:
For resistors in parallel, the reciprocal of the equivalent resistance (1/Rp) is the sum of the reciprocals of individual resistances. 1/Rp = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/6. Finding a common denominator (6): 1/Rp = 3/6 + 2/6 + 1/6 = 6/6 = 1. Therefore, Rp = 1 Ω.
Explanation:
Total 9 Ω, each side 3 Ω. Across two vertices, one side is 3 Ω in parallel with series of two sides (3+3=6 Ω). Equivalent: (3×6)/(3+6) = 18/9 = 2 Ω. Triangle resistance network.
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