question_answer

A uniform wire of \[16\,\,\Omega \] resistance is made into the form of a square. Two opposite corners of the square are connected by a wire of resistance \[16\,\,\Omega \]. The effective resistance between the other two opposite corners is

A)  \[32\,\,\Omega \]

B)  \[16\,\,\Omega \]

C)  \[8\,\,\Omega \]             

D)  \[4\,\,\Omega \]

Correct Answer: D

Solution :

The circuit will be as shown in figure. It is a balanced Wheatstone bridge, so the effect of 160 resistance will be absent. Then effective resistance between A and B is \[=\frac{8\times 8}{8+8}=4\,\,\Omega \]