The magnetic field in a plane monochromatic electromagnetic wave with wavelength
ID: 1697833 • Letter: T
Question
The magnetic field in a plane monochromatic electromagnetic wave with wavelength ? = 450 nm, propagating in a vacuum in the z-direction is described byB=(B1sin(kz-wt))(i+j)
where B1 = 10.1 X 10-6 T, and i and j are the unit vectors in the +x and +y directions, respectively.
What is Emax, the amplitude of the electric field oscillations?
I know k=13962634.02 and the magnetic field is a maximum at z=112.5 nm. The hint is that I need to find the amplitude of magnetic field but nothing is working. thank you
Explanation / Answer
Given that B1 = 10.1 x 10^-6 T ------------------------------------------------- The amplitude of the electric field oscillations Emax = Bmax c = (10.1 x 10^-6 T)(3.0 x 10^8 m/s) = 3.030x 10^3 N/m
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