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 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=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
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