Question

The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 427 nm, propagating in a vacuum in the z-direction is described by

B⃗=(B1sin(kz−ωt))(i^+j^)B→=(B1sin⁡(kz−ωt))(i^+j^)

where B₁ = 7.6 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 z_max, 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 E_max, the amplitude of the electric field oscillations?

4)

What is E_y, the y-component of the electric field at (x = 0, y-0, z = z_max) at t = 0?

6)

What is t_max, the first time after t = 0, when the magnitude of the electric field at the origin (x = y = z = 0) has its maxiumum value?

Answer 1

IT 3 106.nnm 332-2bxx1 0.7%/3220V1リ 6 322o s 4x3X/ob

Please rate if it helps!!