JCECE Engineering JCECE Engineering Solved Paper-2013

  • question_answer
    Find out the equivalent resistance between \[A\] and \[B\] in the network of resistances shown in adjoining figure

    A) \[25\Omega \]                                 

    B) \[10\Omega \]

    C)  \[5\Omega \]                                   

    D)   None of these

    Correct Answer: C

    Solution :

    Here \[4\Omega \] and \[12\Omega \] are in parallel. \[\therefore \]  \[\frac{1}{R}=\frac{1}{4}+\frac{1}{12}\] \[\Rightarrow \]               \[R=\frac{4\times 12}{4+12}=3\Omega \] Similarly, \[6\Omega \] and \[3\Omega \] are in parallel. \[\therefore \]  \[\frac{1}{R'}=\frac{1}{6}+\frac{1}{3}\] \[\Rightarrow \]               \[R'=\frac{6\times 3}{6+3}=2\Omega \] \[R\] and \[R'\] are in series. \[\therefore \]Equivalent resistance between \[A\] and \[B\]                 \[R''=R+R'=3+2=5\Omega \]


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