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12th Class Physics Electro Magnetic Induction Question Bank MCQ - Electromagnetic Induction

  • question_answer
    The magnetic flux through a circuit of resistance R changes by an amount \[\Delta \,\phi \] in time \[\Delta \,t\], then the total quantity of electric charge Q, which passing during this time through any point of the circuit is given by:

    A) \[Q=\frac{\Delta \,\phi }{\Delta \,t}\]                   

    B) \[Q=\frac{\Delta \,\phi }{\Delta \,t}\times R\]

    C) \[Q=-\frac{\Delta \,\phi }{\Delta \,t}+R\] 

    D) \[Q=\frac{\Delta \,\phi }{R}\]

    Correct Answer: D

    Solution :

    (d) \[Q=\frac{\Delta \,\phi }{R}\] We know that \[\varepsilon =\frac{d\phi }{dt}\] But \[\varepsilon =lR\] and \[l=\frac{dQ}{dt}\Rightarrow \frac{dQ}{dt}R=\frac{d\phi }{dt}\Rightarrow dQ=\frac{d\phi }{R}\] or \[\Delta Q=\frac{\Delta \,\phi }{R}\]


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