The space–time variation of the electric field of a plane electromagnetic wave in…

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Waves Sound and Physical Optics · Waves Sound and Physical Optics

Problem

The space–time variation of the electric field of a plane electromagnetic wave in vacuum is

E(x,t)=E_0\sin(kx-\omega t)

with

k = 1.5\times10^{7}\,\text{m}^{-1}

. The accompanying magnetic field has an amplitude

B_0 = 4.0\times10^{-3}\,\text{T}

. Take

c = 3.0\times10^{8}\,\text{m}\,\text{s}^{-1}

. (i) Calculate the wavelength of the wave. (ii) Determine its frequency. (iii) Find the period. (iv) Compute the electric field amplitude

E_0

. (v) Calculate the numerical value of

\omega