Question

A wire has a resistance of 12 ohm. It is bent in the form of equilateral triangle. The effective resistance between any two corners of the triangle is

• A. 9 ohms
• B. 12 ohms
• C. 6 ohms
• D. 8/3 ohms

Answer 1

Answer: (D)

8/3 ohms

Answer 2

As resistance ∝ Length

Resistance of each arm $= \frac{12}{3} = 4\Omega$

⇒ $R_{\text{effective}} = \frac{4 \times 8}{4 + 8} = \frac{8}{3}\Omega$