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The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 683 nm, propagating in a vacuum in the z-direction is described by B = (B₁ sin(kz - wt)) (î + 3) where B₁ = 5.3 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? 0 0 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? m-1 0 Submit 3) What is Emax, the amplitude of the electric field oscillations? 0 nm Submit V/m Submit 4) What is Ey, the y-component of the electric field at (x = 0, y-0, z = Zmax) at t = 0? V/m Submit

The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 683 nm, propagating in a vacuum in the z-direction is described by B = (B₁ sin(kz - wt)) (î + 3) where B₁ = 5.3 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? 0 0 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? m-1 0 Submit 3) What is Emax, the amplitude of the electric field oscillations? 0 nm Submit V/m Submit 4) What is Ey, the y-component of the electric field at (x = 0, y-0, z = Zmax) at t = 0? V/m Submit

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The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 683 nm, propagating in a vacuum in the z-direction is described by B = (B₁ sin(kz – wt)) (î+ ĵ) where B₁ = 5.3 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? 0 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? 0 m¹ Submit 0 3) What is Emax, the amplitude of the electric field oscillations? nm Submit 0 V/m Submit 4) What is Ey, the y-component of the electric field at (x = 0, y-0, z = Zmax) at t = 0? V/m Submit + +
Transcribed Image Text:The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 683 nm, propagating in a vacuum in the z-direction is described by B = (B₁ sin(kz – wt)) (î+ ĵ) where B₁ = 5.3 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? 0 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? 0 m¹ Submit 0 3) What is Emax, the amplitude of the electric field oscillations? nm Submit 0 V/m Submit 4) What is Ey, the y-component of the electric field at (x = 0, y-0, z = Zmax) at t = 0? V/m Submit + +
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