A sinusoidal electromagnetic wave is propagating in vacuum in the +z-direction. If at a particular instant and at a certain point in space t

Question

A sinusoidal electromagnetic wave is propagating in vacuum in the +z-direction. If at a particular instant and at a certain point in space the electric field is in the +x-direction and has magnitude 3.20 V/m, what are the magnitude and direction of the magnetic field of the wave at this same point in space and instant in time?

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Adela 2 years 2021-07-26T14:28:46+00:00 1 Answers 40 views 0

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    2021-07-26T14:30:36+00:00

    Answer:

    The magnitude of the magnetic field is [tex]B_o = 1.13 *10^{-8}T[/tex]

     The direction is in the +y direction

    Explanation:

        From the question we are told that  

          The electric field is [tex]E_o = 3.40 \ V/m[/tex]

    The relationship between electric and magnetic field is mathematically represented  as

                   [tex]c = \frac{E_o}{B_o}[/tex]

    Where  c is the speed of light

                  [tex]B_o[/tex] is the magnetic field

    Making [tex]B_o[/tex]  the subject off the formula

                    [tex]B_o = \frac{E_o}{c}[/tex]

                           [tex]= \frac{3.40}{3*10^{8}}[/tex]

                     [tex]B_o = 1.13 *10^{-8}T[/tex]

    Generally in an electromagnetic wave the direction of the wave propagation , the electric field and the magnetic field are perpendicular

       Since from the question the direction of the electric field is +x direction and the  wave  propagation is in the + z direction then the magnetic field would be in the + y direction

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