BHU PMT BHU PMT (Screening) Solved Paper-2005

  • 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 :

                     Key Idea: After cutting the resistance of each part decreases by factor n. The resistance of a wire of length\[l\]is R. After cutting the wire in n equal parts, the resistance of each part is\[R'=\frac{R}{n}.\] When these are connected in parallel, then \[\frac{1}{R''}=\frac{1}{R'}+\frac{1}{R'}+.....n\]times


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