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,

$R'=2\, \Omega+2\, \Omega=4\, \Omega$
$\frac{1}{R}''=\frac{1}{4}+\frac{1}{2}=\frac{3}{4} \Omega$
$R''=\frac{4}{3} \Omega$