Question

The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 684 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 = 5.3 X 10^-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.

5)

Which of the following equations describes the spatial and time dependence of the electric field oscillations?

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?

s

7)

Compare E_x1 and E_x2, the values of the x-component of the electric field at t = 0. E_x1 is evaluated at (x = 0, y = 0, z = z_max), while E_x2 is evaluated at (x = λ nm, y = λ nm, z = z_max).

E_x1 < E_x2

E_x1 = E_x2

E_x1 > E_x2

Answer 1