Chapter 24, Problem 13P

Figure P24.13 shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 50.0 m and the electric field vibrates in the xy plane with an amplitude of 22.0 V/m. Calculate (a) the frequency of the wave and (b) the magnetic field $\stackrel{\to }{B}$ when the electric field has its maximum value in the negative y direction. (c) Write an expression for $\stackrel{\to }{B}$ with the correct unit vector, with numerical values for B_max, k, and ω, and with its magnitude in the form

$B=B_{\max }\cos (kx-\omega t)$

Figure P24.13 Problems 13 and 64.