question_answer

The resistance of the following eircuit  between A and B is          

A) \[\frac{3}{2}\Omega \]  

B) \[2\Omega \]

C) \[4\Omega \]                             

D) \[8\Omega \]

Correct Answer: A

Solution :

[a] It involves a balanced wheatstone bridge circuit. This is equivalent to \[2\Omega \] So, the circuit reduces to The whole arrangement is equivalent to two resistances of values \[6\Omega \]. and \[2\Omega \]. in parallel. So. \[\frac{1}{R}=\frac{1}{2}+\frac{1}{6}\] \[=\frac{3+1}{6}\] \[=\frac{4}{6}\] \[\therefore R=\frac{3}{2}\Omega \]