Answer :
Answer:
a
The direction of the wave propagation is the negative z -axis
b
The amplitude of electric and magnetic field are [tex]A_E= 3.35*10^5 V/m[/tex] ,
[tex]A_M= 1.12 *10^{-3} T[/tex] respectively
Explanation:
According to right hand rule, your finger (direction of electric field) would be pointing in the positive x-axis i.e towards your right let your palms be face toward the direction of the magnetic field i.e negative y-axis (toward the ground ) Then anywhere your thumb stretched out is facing is the direction of propagation of the wave here in this case is the negative z -axis
The Intensity of the wave is mathematically represented as
[tex]I = \frac{1}{2} c \epsilon _O E_{rms}^2[/tex]
Given that [tex]I = 7.43 \frac{kW}{cm^2} = 7.43 \frac{*10^3}{*10^-{4} }= 7.43*10^7 \frac{W}{m^2}[/tex]
Making [tex]E_{rms}[/tex] the subject we have
[tex]E_{rms} = \sqrt{\frac{I}{0.5*c*\epsilon_o} }[/tex]
Substituting values as given on the question
[tex]E_{rms} = \sqrt{\frac{7.43 *10^7[\frac{W}{m^2} ]}{0.5 * 3.08*10^8 *8.85*10^{-12}} }[/tex]
[tex]= 2.37*10^5 \ V/m[/tex]
The amplitude of the electric field is mathematically represented as
[tex]A_E = \sqrt{2} * E_{rms}[/tex]
[tex]= \sqrt{2} * 2.37*10^5[/tex]
[tex]A_E= 3.35*10^5 V/m[/tex]
The amplitude of the magnetic field is mathematically represented as
[tex]A_M = \frac{A_E}{c}[/tex]
Substituting value
[tex]A_M = \frac{3.35 *10^5}{3.0*10^8}[/tex]
[tex]A_M= 1.12 *10^{-3} T[/tex]