Question

When three identical resistances are connected to form a triangle the resultant resistance between any two corners is 30$\Omega$ .The value of each resistance is:

• A. 90$\Omega$
• B. 54$\Omega$
• C. 15$\Omega$
• D. 45$\Omega$

Answer 1

The correct option is D 45$\Omega$

$R_{AB}=\frac{2R\times R}{3R}=\frac{2R}{3}=30$
$\Rightarrow R=45\Omega$