question_answer

Three equal resistors each equal to r are connected as shown in the given figure. The equivalent resistance between points A and B is:

A)  r                                            

B)  3r

C) \[\frac{r}{3}\]                                   

D) \[\frac{2}{3}r\]

Correct Answer: C

Solution :

                The given network resistances can be replaced successively by the networks.                   Hence, the three resistors are connected in parallel, hence equivalent resistance is \[\frac{1}{R}=\frac{1}{r}+\frac{1}{r}+\frac{1}{r}=\frac{3}{r}\Rightarrow R=\frac{r}{3}\]