MGIMS WARDHA MGIMS WARDHA Solved Paper-2013

  • question_answer
    A magnetizing field of 1600 A/m produces a magnetic; flux\[2.4\times {{10}^{-5}}\]Wb in an iron bar of cross-sectional area\[0.2\text{ }c{{m}^{2}}\]. The susceptibility of an iron bar will be

    A)  1788                     

    B)  1192    

    C)  596                       

    D)  298

    Correct Answer: C

    Solution :

                    \[I=\frac{B}{{{\mu }_{0}}}-H\] \[B={{\mu }_{0}}H(1+{{\chi }_{m}})\] \[{{\chi }_{m}}=\frac{\mu }{{{\mu }_{0}}}-I\] \[\phi =2.4\times {{10}^{-5}}Wb,\] \[A=0.2\times {{10}^{-4}}{{m}^{2}}\] \[B=\frac{\phi }{A}=\frac{2.4\times {{10}^{-5}}}{0.2\times {{10}^{-4}}}=1.2\,Wb/{{m}^{2}}\] \[\mu =\frac{B}{H}=\frac{1.2}{1600}=7.5\times {{10}^{-4}}H/{{m}^{2}}\] \[{{\chi }_{m}}=\frac{7.5\times {{10}^{-4}}}{4\pi \times {{10}^{-7}}}-I=596\]


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