VMMC VMMC Medical Solved Paper-2004

  • question_answer
    Two parallel wires of length 9 m each are separated by a distance 0.15 m. If they carry equal currents in the same direction and exerts a total force of \[30\times {{10}^{-7}}N\] on each other, then the value of current must be

    A) 2.5 amp                               

    B) 3.5 amp               

    C)        1.5 amp               

    D)        0.5 amp

    Correct Answer: D

    Solution :

    The force between wires carrying equal current in same direction is given by \[F=\frac{{{\mu }_{0}}}{4\pi }\times \frac{2{{i}^{2}}.l}{r}\] \[30\times {{10}^{-7}}={{10}^{-7}}\times \frac{2\times {{i}^{2}}\times 9}{0.15}\] \[=120\times {{10}^{-7}}\times {{i}^{2}}\] \[{{i}^{2}}=\frac{30\times {{10}^{-7}}}{120\times {{10}^{-7}}}=0.25\text{amp}\] \[i=0.5\,amp\]


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