Question

Three $2\Omega$ resistors are connected to form a triangle. The resistance between any two corners is

• A. $\frac{4}{3}\Omega$
• B. $\frac{3}{4}\Omega$
• C. $6\Omega$
• D. $\frac{2}{3}\Omega$

Answer 1

Answer: (A)

In triangle formation, two resistors are in series and their sum is connected in parallel.
Therefore,

$R^{\prime }=2\Omega +2\Omega =4\Omega$
${\frac{1}{R}}^{\prime \prime }=\frac{1}{4}+\frac{1}{2}=\frac{3}{4}\Omega$
$R^{\prime \prime }=\frac{4}{3}\Omega$