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JIPMER Jipmer Medical Solved Paper-2006

  • question_answer
    A uniform wire of length \[l\] and having resistance R is cut into n equal parts and all parts are connected in parallel, then the equivalent resistance will be :

    A) \[R\]          

    B)                        \[R/n\]                

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

    D)        \[{{n}^{2}}R\]

    Correct Answer: C

    Solution :

    Resistance of each part \[R=\frac{R}{n}\] When, these parts are connected in parallel. Then, \[\frac{1}{R}=\frac{1}{R}+\frac{1}{R}.....\,n\] time     \[=\frac{n}{R}\] \[\therefore \]  \[R=\frac{R}{n}=\frac{R}{{{n}^{2}}}\]


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