JEE Main & Advanced Physics Electro Magnetic Induction Question Bank Self Evaluation Test - Electromagnetic Induction

  • question_answer
    A rectangular loop PQRS, is pulled with constant speed into a uniform transverse magnetic field by a force F (as shown). E.m.f. induced in side PS and potential difference between points P and S respectively are (Resistance of the loop = r)

    A) zero, \[\frac{Fr}{B\ell }\]

    B) zero, zero

    C) zero, \[\frac{Fr}{6B\ell }\]

    D) \[\frac{Fr}{6B\ell },\,\frac{Fr}{6B\ell }\]

    Correct Answer: C

    Solution :

    [c] There is no charge in flux through PS and so induced emf will be zero. But \[{{V}_{p}}-{{V}_{B}}={{V}_{Q}}-{{V}_{R}}\] Also,   \[F=Bil\] or \[i=\frac{F}{B\ell }\] \[\therefore \,\,\,\,{{V}_{P}}-{{V}_{B}}={{V}_{Q}}-{{V}_{R}}=i{{r}_{QR}}=\frac{F}{B\ell }\times \frac{r}{6}=\frac{Fr}{6B\ell }\]


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