Question

An electromagnetic wave traveling in the positive z direction in free space,

far from any sources, has an electric field oriented along the y-axis, with an amplitude E∘
​of 5 A/m.Write the equation for the electric field of this wave, in phasor domain.

Answer 1

In the phasor domain, the equation for the electric field of an electromagnetic wave is Ey = E0 * cos(kx - ωt + φ). The wave is traveling in the positive z direction. The associated magnetic field wave can be determined using Maxwell's equations.

Step-by-step explanation:

In the phasor domain, the equation for the electric field of an electromagnetic wave is given by:

Ey = E0 * cos(kx - ωt + φ)

Where:

• Ey is the y-component of the electric field
• E0 is the amplitude of the electric field (given as 5 A/m)
• k is the wavenumber
• x is the distance along the wave's direction of propagation
• ω is the angular frequency
• φ is the phase angle

Since the wave is traveling in the positive z direction, the direction of travel of the wave is in the positive z-axis. The associated magnetic field wave can be determined using Maxwell's equations.