(Solved): Question 3 (40 pts): An electromagnetic plane wave of (angular) frequency \omega is traveling in th ...
Question 3 (40 pts): An electromagnetic plane wave of (angular) frequency
\omega is traveling in the
xdirection through the vacuum. It is polarized in the
ydirection, and the amplitude of the electric field is
E_(0). Write down the electric and magnetic fields, ,
z,tand
B(x,y,z,t). (10 points) This same wave is observed from an inertial system
S^(')moving in the
xdirection with speed
vrelative tc the original system
S. Find the electric and magnetic fields in terms of the
S^(')coordinates
E^(')(x^('),y^('),z^('),t^('))and
B^(')(x^('),y^('),z^('),t^(')). (20 points) What is the ratio of the intensity in
S^(')to the intensity in
S:(I^('))/(I)=((E_(0)^('))/(E_(0)))^(2)? One of Einstein's thought experiments (Gedankenexperimente) is the light-beam rider: As a 16-year-old youth, Einstein wondered what an electromagnetic wave would look like if you could run along beside it at the speed of light. What can you tell him about the amplitude, frequency, and intensity of the wave, as
vapproaches
c? (10 points)
