JCECE Medical JCECE Medical Solved Paper-2015

  • question_answer The effective resistance across the points P and Q is

    A) \[\frac{r}{4}\]

    B)  \[\frac{r}{2}\]

    C)  \[\frac{r}{8}\]

    D)  \[\frac{r}{16}\]

    Correct Answer: B

    Solution :

     Since, the potential at\[{{A}_{1}}F\] is same. The potential at A, O and E is same. The potential at C and D is same. \[\therefore \]The circuit can be reduced to The equivalent resistance of part (i) is \[\frac{1}{{{R}_{1}}}=\frac{1}{r}+\frac{1}{r}+\frac{1}{r}+\frac{1}{r}\] or \[{{R}_{1}}=\frac{r}{4}\] Similarly, \[{{R}_{2}}=\frac{r}{4}\] \[{{R}_{PQ}}={{R}_{1}}+{{R}_{2}}=\frac{r}{2}\]

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