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The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 479 nm, propagating in a vacuum in the z-direction is described by b⃗ =(b1sin(kz−ω+j^) where b1 = 10.4 x 10-6 t, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.
1) what is k, the wavenumber of this wave?
2)what is zmax, the distance along the positive z-axis to the position where the magnitude of the magnetic field is a maximum at t = 0?
3)what is emax, the amplitude of the electric field oscillations?
4)what is ey, the y-component of the electric field at (x = 0, y-0, z = zmax) at t = 0?
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