question_answer

Four resistors of \[2\,\,\Omega \] each are joined end to end to form a square ABCD. Calculate the equivalent resistance of the combination between any two adjacent corners.

A) \[1.5\,\,\Omega \]   

B) \[3.0\,\,\Omega \]                        

C) \[4.5\,\,\Omega \]                                        

D) \[6.0\,\,\Omega \]

Correct Answer: A

Solution :

\[\frac{1}{R}=\frac{1}{6}+\frac{1}{2}\] \[\frac{1}{R}=\frac{1+3}{6}=\frac{4}{6}=\frac{2}{3},\,\,\Rightarrow R=\frac{3}{2}=1.5\,\Omega \]