question_answer

The effective resistances between the points P and R in the given figure is :

A)  4 \[\Omega \]                                  

B)  3 \[\Omega \]

C)  2.5\[\Omega \]                                               

D)  2\[\Omega \]

Correct Answer: D

Solution :

                                              Equivalent resistance of series connection along PS and SR \[{{R}_{S}}=3+3=6\Omega \] and equivalent circuit equivalent   resistance   of   parallel combination is \[{{R}_{PQ}}=\frac{6\times 6}{6+6}=3\Omega \] and equivalent resistance is Now, equivalent resistance of PQ and QR is \[R=3+3=6\] and finally the resistance between P and R \[{{P}_{PR}}=\frac{6\times 3}{6+3}=\frac{18}{9}=2\Omega \]