Question

Resistance of a wire is 15Ω. It is so bent that it forms an equilateral triangle. Calculate resistance across A and B.

Answer 1

solution

if equilateral side are equal

so 15/3 = 5ohm per side

so Reffective = resistance b/w A and B

5 ohm froam a to b and 5 + 5 ohm from a to c and c to b

$r \: = \frac{5 \times 10}{10 + 5} \\ \\ \\ r \: = \frac{50}{15} \\ \\ so \: r = \frac{10}{3}$

so resistance b/w a and b = 10/3 ,= 3.33 ohm

hope it helps

be barainly