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The magnetic field in a plane monochromatic electromagnetic wave with wavelength

ID: 1697858 • 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 by
B=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=1.396*10^7. I thought Emax=cBmax which would be 3030 V/m but when I enter that answer it tells me I am wrong and gives me the hint to find the amplitude of the magnetic field. Thanks for the help.

Explanation / Answer

     given that B1= 10.1 X 10-6 T

       rms value of the field is B=B1/1.414

                                     = 7.142 X 10-6 T,

          maximum value of E is E=c*B

                                   =2142.8 V/m