Question

Consider an electromagnetic wave travelling in vacuum, where the electric field is given by:

?⃗ (? ,?)=40(?/?) sin[(8×10⁶ ???/?) (?+??)+1.57 ???]?̂

a) Compute the:
i. frequency
ii. wavelength
iii. period
iv. amplitude
v. phase velocity
vi. direction of motion

b) Write the corresponding expression for the magnetic field of this travelling wave (don’t forget to include the proper units).

c) Plot this waveform as a function of x at t=0.

Answer 1

The electromagnetic wave