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NEET Sample Paper NEET Sample Test Paper-11

  • question_answer
    Resistances n, each of r ohm, when connected in parallel give an equivalent resistance of R ohm. If these resistances were connected in series, the combination would have a resistance in ohms, equal to

    A) \[{{n}^{2}}R\]                        

    B) \[R/{{n}^{2}}\]

    C) \[R/n\]                          

    D)  nR

    Correct Answer: A

    Solution :

     Equivalent resistance of \[n\]resistances each of r ohm in parallel is given by \[\frac{1}{R}=\frac{1}{r}+\frac{1}{r}+...+n\,times=\frac{n}{r}\] so, \[r=nR\] When these resistances are connected in series, effective resistance is \[R'=r+r+...+n\,times=nr\] \[\therefore \]      \[R'=n(nR)={{n}^{2}}R\]


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