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NTSE Sample Paper NTSE SAT Practice Test-16

  • question_answer
    Awire of resistance R is cut into n equal parts.These parts are then connected in parallel. The equivalent resistant of the combination will be

    A) nR                               

    B) \[\frac{R}{n}\]

    C) \[\frac{n}{R}\]                          

    D) \[\frac{R}{{{n}^{2}}}\]

    Correct Answer: D

    Solution :

    [d] Resistance of each of the equal parts of the wire \[=\frac{R}{n}\](=r say) The effective resistance of n wires in parallel \[=\frac{r}{n}\] \[=\left( \frac{R}{n} \right)\times \frac{1}{n}\] \[=\frac{R}{{{n}^{2}}}\]


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