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A particle is moving wirh velocity vecv=...

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)

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A particle is moving with velocity vec(v)=hat(i)+3hatj and it produces an electrostatic field at a point given by vec(E)=2hat(k) . It will produce magnetic field at that point equal to (all quantities are in S.I. units and speed of light is c )

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An electron moving with velocity vecv_(1)=1hati m//s at a point in a magnetic field experiences a force vecF_(1)=-ehatjN where e is the charge of electron.If the electron is moving with a velocity vecv_(2)=hati-hatj m//s at the same point, it experiences a force vecF_(2)=-e(hati+hatj)N . Find the magnetic field and the force the electron would experience if it were moving with a velocity vecv_(3)=vecv_(1)xxvecv_(2) at the same point.