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A particle is moving wirh velocity `vecv=hati+3hatj` and it produces an electric field at a point given by `vecE=2hatk`. It will produce magnetic field at that point equal to (all quantities are in SI units)A. `(6hati-2hatj)mu_0epsilon_0`B. `(6hati+2hatj)mu_0epsilon_0`C. zeroD. cannot be determine

Answer» Correct Answer - A
(a) `vecE=1/(4piepsilon_0) q/(r^2) hatr=2hatk,hatr=hatk`
`vecB=(mu_0)/(4pi) (qvecvxxhatr)/(r^2)=mu_0epsilon_0[q/(4piepsilonr^2)](hati+3hatj)xxhatk`
`=mu_0epsilon_02[-hatj+3hati]=(6hati-2hatj)mu_0epsilo_0`


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