Question

The Lorentz transformations for electric and magnetic fields are given by, ar{mathbf{E}}_{|} = mathbf{E}_{|} ; ar{mathbf{E}}_{perp} = gamma(mathbf{E}_{perp} + mathbf{u} imes mathbf{B}) ar{mathbf{B}}_{|} = mathbf{B}_{|} ; ar{mathbf{B}}_{perp} = gamma(mathbf{B}_{perp} - frac{1}{c^2}mathbf{u} imes mathbf{B}) where | and perp refer to the parallel and perpendicular components with respect to the relative velocity of the reference frames. Using these transformations calculate the electric and magnetic fields of a point charge moving with a constant velocity with respect to the observer.

          The Lorentz transformations for electric and magnetic fields are given by,

ar{mathbf{E}}_{|} = mathbf{E}_{|} ; ar{mathbf{E}}_{perp} = gamma(mathbf{E}_{perp} + mathbf{u} 	imes mathbf{B})
ar{mathbf{B}}_{|} = mathbf{B}_{|} ; ar{mathbf{B}}_{perp} = gamma(mathbf{B}_{perp} - frac{1}{c^2}mathbf{u} 	imes mathbf{B})

where | and perp refer to the parallel and perpendicular components with respect to the relative velocity of the reference frames. Using these transformations calculate the electric and magnetic fields of a point charge moving with a constant velocity with respect to the observer.

$The Lorentz transformations for electric and magnetic fields are given by, armathbfE| = mathbfE| ; armathbfEperp = gamma(mathbfEperp + mathbfu imes mathbfB) armathbfB| = mathbfB| ; armathbfBperp = gamma(mathbfBperp - frac1c^2mathbfu imes mathbfB) where | and perp refer to the parallel and perpendicular components with respect to the relative velocity of the reference frames. Using these transformations calculate the electric and magnetic fields of a point charge moving with a constant velocity with respect to the observer.$

Added by Asdasd A.

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