Question

Learning Goal: 1 Review TIC Laiyei vairavic IVI LINIO LULU AI AI E LE MAAILTUMIT Tayl CLIC HICIU Dmax, Lic wave ITINCIR, anu le aiyulai iequency w VI LIC wave. They are un coefficients that appear in the equation for the magnetic field component of the wave: B = kB max cos(kx – wt) To practice Problem Solving Strategy 32.1 Electromagnetic Waves. An electromagnetic wave in a vacuum traveling in the +x direction generated by a variable source initially has a wavelength of 305 um and a maximum electric field Emax in the +y direction of 8.30-10-3 V/m . If the period of the wave is then increased by a factor of 2.40, what is the equation of the resulting magnetic field component of the wave? EXECUTE the solution as follows Part C What are the coefficients in the equation for the magnetic field component of the wave after the period increases by a factor of 2.40? Enter the maximum magnetic field, wavenumber, and angular frequency in teslas, inverse meters, and radians per second separated by commas. ► View Available Hint(s) VO ΑΣΦ ? Bmax, kw = T, 1/m, rad/s Submit

Answer 1

Speed Initially the electromagnete wave warc length a = 305 mm 23054100m of Em vrave 2 speed of tight = 3x10 Frequency of the warre, na 3 4108 - 9- 83 6 X 60 3058106 8 с ته sec. So time speriod, T,= 1 = ( 6 167 xo 9.8367101 Now the time of period en en creased ty 2-40 factor, It To be the hal new to me period, then

Bus 25 2. Go o. T2 = 2.4 T = 2:241- 67 x 10 T22 2.64 x 10 -12 ses ha= 12 New frequency the 2.uario h 2 4.098 kio" H2 - The the new frequency. : Angular frequency wa 20 na = 2 TK 4.098 x 10 wa 2.878 x 10 indis u als, velocity of light fixed at = 3x108. as it in an unevenal constant. -- wavelength, ха W Newro velocate (4) 723 frernen (he) 2.62x1072 3x102 4.098 yol ag = 7 321 X 104 – New wave knumber & २॥ 2 (7-321 X164) k = 20 8582-46 (A) (In m')

1 we le part of ary Wave wave numben Mox know that, amplitude independent of phase post, e frequency, the periods ete. So, though we change it's it me. persod, it's ampleksels panst ie amplitude of elecluc field I magnet a field well be same. hare Ener 8-3xio vlm Nowhet. Brax amplitude of maguete field know that, for the aware, 3 We Bmak -3 max B max 8- 3x10 C 3x108 2.760 x 10-T Ann. many S... the answers are R 2-763 xlo 85 82.41 ml redis 2 2-575x lo 12 The wave travels towards a A BA direct, the direction of propagation, ro, o must babe directed towards a ct along ay). The equation of ) [(2-575 xil?) + - (8582.40) x2 B = B max (wt - kn) 2 (2.76 7410
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