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Statement of a problem № 3868

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A uniform magnetic field of induction B fills a cylindrical volume of radius R. A metal rod of length 2l is placed as in Fig. 13.18. If d B /dt is the rate of change of B show that the emf that is produced by the changing magnetic field that acts at the ends of the rod is given by e=-dB/dtlsqrt(R^2-l^2)

Solution:
A uniform magnetic field of induction B fills a cylindrical volume of radius R.

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