A wire having resistance 12Ω is bent in the form of an equilateral triangle. The effective resistance between any two corners of the triangle will be

Options

(a) 6Ω
(b) 8/3Ω
(c) 9Ω
(d) 12Ω

Correct Answer:

8/3Ω

Explanation:

As resistance, R ∝ length

.·. Resistance of each arm = 12 / 3 = 4 Ω

So, effective resistance between any two corners,

Reff = (4×8) / (4+8) = 32 / 12 = (8/3) Ω