J & K CET Engineering J and K - CET Engineering Solved Paper-2006

  • question_answer
    A coil having 500 turns of square shape each of side \[10\text{ }cm\]is placed normal to a magnetic field which is increasing at \[1\text{ }T/s\]. The induced emf is

    A)  \[0.1\text{ }V\]        

    B)  \[0.5\,\,V\]    

    C)  \[1\,\,V\]          

    D)  \[-5\,\,V\]

    Correct Answer: D

    Solution :

    The magnetic flux through area A placed in magnetic field B is \[\phi =BA\,\,\cos \,\theta \] Given,  \[\theta ={{0}^{o}},\,\,\,\,B=1\,T/s,\] \[A={{(10)}^{2}}c{{m}^{2}}={{10}^{-2}}\,{{m}^{2}}\] \[\therefore \] \[\phi =1\times {{10}^{-2}}\] By Faraday's law, induced emf is \[e=-N\frac{\Delta \phi }{\Delta t}\] \[=-500\times {{10}^{-2}}=-5\,V\]


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