Current Electricity 1 Question 8

8. A uniform metallic wire has a resistance of 18Ω and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is

(2019 Main, 10 Jan I)

(a) 12Ω

(b) 8Ω

(c) 2Ω

(d) 4Ω

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Solution:

  1. Resistance of each arm of equilateral triangle will be

R=183=6Ω

So we have following combination will be

Equivalent resistance is

RAB=12×612+6=12×618=4Ω



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