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Uttarakhand PMT Uttarakhand PMT Solved Paper-2008

  • question_answer
    Four wires each of same length, diameter as. materials are connected to each other to form square. If the resistance of each wire is R. then equivalent resistance across the opposite corners is

    A)  R             

    B)  R/2

    C)  R/4          

    D)  None of these

    Correct Answer: A

    Solution :

     The resistance of two arms on the opposite corners of a square\[=R+R=2R\]. Therefore, for equivalent resistance between two opposite comers of a square, we have two resistance each of value 2R in parallel. So, \[\frac{1}{R}=\frac{1}{2R}+\frac{1}{2R}\] \[\frac{1}{R}=\frac{1+1}{2R}=\frac{2}{2R}\] \[R=R\]


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