AIIMS AIIMS Solved Paper-2005

  • question_answer
    A conducting ring of radius 1 m is placed in an uniform magnetic field B of 0.01 T oscillating with frequency 100 Hz with its plane at right angle to B. What will be the induced electric Field?

    A) \[{{f}_{c}}=9\sqrt{{{N}_{\max }}}\]

    B)                       \[{{m}^{3}}\]     

    C)                       \[\therefore \] 

    D)       \[{{N}_{\max }}=\frac{f_{c}^{1}}{81}=\frac{{{(10\times {{10}^{6}})}^{2}}}{81}\]

    Correct Answer: B

    Solution :

                    From Faradays law of electromagnetic induction the induced emf is equal to negative rate of change of magnetic flux. That is    \[\frac{x\pi {{R}^{2}}{{n}_{1}}}{{{n}_{2}}}\] Flux induced \[\frac{x\pi {{R}^{2}}{{n}_{2}}}{{{n}_{1}}}\] where B is magnetic field, A is area. Given,      \[\frac{\pi R{{n}_{1}}}{{{n}_{2}}}\] \[\pi {{R}^{2}}x\] \[\omega \] \[{{v}_{0}}\] \[\sqrt{3}{{v}_{0}}\] Circumference of a circle of radius r is \[2\pi r\]. \[3{{v}_{0}}\]  Induced electric field E is \[9{{v}_{0}}\]


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