Question

8. (10 points) You have an electromagnetic wave traveling in the +z direction in a vacuum. The wavelength is 6x10-6 m and the magnetic field amplitude is 9x10-5 T. Explicitly write out the electric field component of the wave (hint: what is k and ω and E0).

Answer 1

em wave wave R = k de also along 25 is K = 25 ml 6X10-6 room W = CK Say W=3.142 X101 rad/see Q8 Giner travelling along tz disection so the vector +2 axis. where mognitud of wave vector The wavelength of en wave en vacumm d=68100m The Amplitude of magnetic field Bo=9x10st The wavec vector - 27 -1.047 X106 and the angular frequency of wave 3 x10® kex 1.047 x W = 3.1416 X101" sad /sec magnetic field is along th direction B = 0.1 The electric field given by E = 2 ( 8 xV) Where v= speed of wave in vacunia gn Vacumin V=C = 3x108 'speed of light) & Bok (ix 2 sclk (ſ) = CB. l-) CBo (-5 along -y axis The amplitude of È Ex= 3 X 100 X 9X10 27 X10' Vom The electic is gepresented by sin (KZ-wt) (-1) F = 27X109 VIM ; K=1.047 xrohl and and t is time mas The -5 mi ¿ E. Where