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Homework Statement
The figure below shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 56.0 m and the electric field vibrates in the xy plane with an amplitude of 20.0 V/m.
(b) Calculate the magnetic field when the electric field has its maximum value in the negative y direction.
(c) Write an expression for with the correct unit vector, with numerical values for Bmax, k, and ω, and with its magnitude in the form
B = Bmax cos (kx − ωt).
(Assume B is measured in nT, x is measured in m and t in s.)
Homework Equations
c = 1/(μ0ε0)1/2
c = 299609581 m/s
f = c / λ
E = Emax cos(kx - ωt)
B = Bmax cos(kx - ωt)
E max / B max = E / B = ck = 2π/λ
ω = 2πf
The Attempt at a Solution
I only found the frequency, which is 5.35 x 106 HzI would like some hints how to find E max then I can just use the third equation listed.I'm thinking that E = Emax cos(kx - wt) and I think
E = (20V/m) cos[(0.1121)(x) - (33615041)(t)]
where 0.1121 is k (k=2pi / λ)
and where 33615041 is ω (ω = 2πf)
What would I do with regards to x and t in the equation?