The magnetic field in a plane electromagnetic wave is given by
`B_(y)=2xx10^(-7)sin (0.5xx10^(3)x + 1.5 xx 10^(11) t)T`.
What is the wavelength and frequency of the wave ?

Explanation

a) Comparing the given equation with
`B_(y)=B_(0)sin[2pi[((x)/(lambda)+(t)/(T))]`
we get, `lambda=(2pi)/(0.5xx10^(3))m=1.26cm`
and `(1)/(T)=v=(1.5xx10^(11))//2pi=23.9GHz`
b) `E_(0)=B_(0)c=2xx10^(-7)Txx3xx10^(8)m//s=6xx10^(1)V//m`
The electric field component is perpendicular to the direction of propagation and the direction of magnetic field.
Therefore, the electric field component along the z-axis is obtained as
`E_(z)=60sin(0.5xx10^(3)x+1.5xx10^(11)t)V//m`