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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2010

  • question_answer
        A solenoid 600 mm long has 50 turns on it and is wound on an iron rod of 7.5 mm radius. Find the flux through the solenoid when the current in it is 3 A. The relative permeabillity of iron is 600.

    A)  1.66 Wb                              

    B)  1.66 N Wb

    C)  1.66 m Wb     

    D) \[1.66\text{ }\mu \,Wb\]

    Correct Answer: C

    Solution :

                    \[\phi ={{\mu }_{r}}{{\mu }_{0}}\frac{{{N}^{2}}}{l}Ai\] \[=\frac{600\times 4\pi \times {{10}^{-7}}\times 50\times 50\times \pi {{(7.5\times {{10}^{-3}})}^{2}}\times 3}{6\times {{10}^{-1}}}\] \[=1.66\times {{10}^{-3}}Wb\] \[=1.66\,mWb\]


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