A standard electromagnetic wave equation, for a magnetic field, is given as:

$\overline{){{\mathbf{B}}}_{{\mathbf{z}}}{\mathbf{=}}{{\mathbf{B}}}_{{\mathbf{0}}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{(}}\frac{\mathbf{2}\mathbf{\pi}}{\mathbf{\lambda}}{\mathbf{x}}{\mathbf{+}}{\mathbf{2}}{\mathbf{\pi}}{\mathbf{v}}{\mathbf{t}}{\mathbf{)}}}$

**a.**

Comparing the equation given and the standard wave equation:

2π/λ = 1.20×10^{7}

The magnetic field of an electromagnetic wave in a vacuum is *B**z* =(4.0*μ*T)sin((1.20×10^{7})*x*−*ω**t*), where *x* is in m and *t* is in s.

a. What is the wave's wavelength?

b. What is the wave's frequency?

c. What is the wave's electric field amplitude?

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