question_answer

In the figure, the equivalent resistance between the points A and B is

A) \[8\Omega \]                                    

B) \[6\Omega \]                    

C) \[2\Omega \]                    

D)        \[4\Omega \]

Correct Answer: B

Solution :

Since the resistances \[{{R}_{2}}\] and \[{{R}_{3}}\] are in parallel, their equivalent resistance will be \[{{R}_{23}}=\frac{4\times 4}{2\times 4}=2\Omega \]. Now the equivalent circuit will be There are three resistances in series. Therefore the equivalent resistance will be \[{{R}_{AB}}=2+2+2=6\Omega \].