Respuesta :
Explanation:
The electric field in an electromagnetic wave is described by:
[tex]E_y=112\ sin(1.4\times 10^7x-\omega t)[/tex]
The general equation is given by :
[tex]E=E_0\ sin(kx-\omega t)[/tex]
Here,
The amplitude in electric field is [tex]E_0=112[/tex]
Propagation constant, [tex]k=1.4\times 10^7[/tex]
[tex]\omega[/tex] is the angular frequency
(a) The amplitude of the corresponding magnetic field oscillations is given by :
[tex]B_0=\dfrac{E_0}{c}[/tex]
[tex]B_0=\dfrac{112}{3\times 10^8}[/tex]
[tex]B_0=3.73\times 10^{-7}\ T[/tex]
[tex]B_0=0.37\ \mu T[/tex]
(b) We know that the propagation constant is given by :
[tex]k=\dfrac{2\pi}{\lambda}[/tex]
[tex]\lambda=\dfrac{2\pi}{k}[/tex]
[tex]\lambda=\dfrac{2\pi}{1.4\times 10^7}[/tex]
[tex]\lambda=4.48\times 10^{-7}\ m[/tex]
[tex]\lambda=0.44\ \mu T[/tex]
(c) [tex]f=\dfrac{c}{\lambda}[/tex]
[tex]f=\dfrac{3\times 10^8\ m/s}{4.48\times 10^{-7}\ m}[/tex]
[tex]f=6.69\times 10^{14}\ Hz[/tex]
