Figure 34.3 shows a plane electromagnetic sinusoidal wave propagating in vacuum

Question

Figure 34.3 shows a plane electromagnetic sinusoidal wave propagating in vacuum in the x direction. Suppose the wavelength is 40.0 m and the electric field vibrates in the xyplane with an amplitude of 26.0 V/m.

B = Bmax cos(kx - ?t) B =

Figure 34.3 shows a plane electromagnetic sinusoidal wave propagating in vacuum in the x direction. Suppose the wavelength is 40.0 m and the electric field vibrates in the xyplane with an amplitude of 26.0 V/m. Calculate the frequency of the wave. Calculate the magnitude and direction of vector B when the electric field has its maximum value in the negative y direction. Write an expression for vector B with the correct unit vector, with numerical values for Bmax, k, and ?, and with its magnitude in the form shown below.

Explanation / Answer

v=f*lambda

==> f=3E8/40=7.5 E6 Hz

b) Bmax=Emax/c=26/3E8 = 8.67E-8 T

c) w=2*pi*f=4.71E9

k=2*pi/lambda=0.157

==> B=8.67E-8*cos(0.157x-4.71E8t)

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