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  • Solve it, Consider an electromagnetic wave propagating in vacuum. Choose the correct statement :

Consider an electromagnetic wave propagating in vacuum.  Choose the correct statement :

  • Option 1)

    For an electromagnetic wave propagating in +x direction the electric field is

     \vec{E} = \frac{1}{\sqrt{2}}\, E_{yz}(x,t)\, (\hat{y}-\hat{z})    and the magnetic field is

    \vec{B} = \frac{1}{\sqrt{2}}\, B_{yz}(x,t)\, (\hat{y}+\hat{z})

     

  • Option 2)

    For an electromagnetic wave propagating in +x direction the electric field is

    \vec{E} = \frac{1}{\sqrt{2}}\, E_{yz}(y,z,t)\, (\hat{y}+\hat{z})  and the magnetic field is

    \vec{B} = \frac{1}{\sqrt{2}}\, B_{yz}(y,z,t,)\, (\hat{y}+\hat{z})

  • Option 3)

    For an electromagnetic wave propagating in +y direction the electric field is

    \vec{E} = \frac{1}{\sqrt{2}}\, E_{yz}(x,t)\, \hat{y}   and the magnetic field is

    \vec{B} = \frac{1}{\sqrt{2}}\, B_{yz}(x,t)\, \hat{z}

  • Option 4)

    For an electromagnetic wave propagating in +y direction the electric field is

    \vec{E} = \frac{1}{\sqrt{2}}\, E_{yz}(x,t)\, \hat{z}      and the magnetic field is

    \vec{B} = \frac{1}{\sqrt{2}}\, B_{z}(x,t)\, \hat{y}

 

Answers (1)

best_answer

As we have learned

Electromagnetic Wave -

Combination of mutually perpendicular electric and magnetic field is referred to as Electromagnetic Wave.

-

 

 If wave is propogating in x direction \vec E \: \: \: and \: \: \: \vec B  must be function of (x, t )  and must be in  Y - Z plane 

 


Option 1)

For an electromagnetic wave propagating in +x direction the electric field is

 \vec{E} = \frac{1}{\sqrt{2}}\, E_{yz}(x,t)\, (\hat{y}-\hat{z})    and the magnetic field is

\vec{B} = \frac{1}{\sqrt{2}}\, B_{yz}(x,t)\, (\hat{y}+\hat{z})

 

Option 2)

For an electromagnetic wave propagating in +x direction the electric field is

\vec{E} = \frac{1}{\sqrt{2}}\, E_{yz}(y,z,t)\, (\hat{y}+\hat{z})  and the magnetic field is

\vec{B} = \frac{1}{\sqrt{2}}\, B_{yz}(y,z,t,)\, (\hat{y}+\hat{z})

Option 3)

For an electromagnetic wave propagating in +y direction the electric field is

\vec{E} = \frac{1}{\sqrt{2}}\, E_{yz}(x,t)\, \hat{y}   and the magnetic field is

\vec{B} = \frac{1}{\sqrt{2}}\, B_{yz}(x,t)\, \hat{z}

Option 4)

For an electromagnetic wave propagating in +y direction the electric field is

\vec{E} = \frac{1}{\sqrt{2}}\, E_{yz}(x,t)\, \hat{z}      and the magnetic field is

\vec{B} = \frac{1}{\sqrt{2}}\, B_{z}(x,t)\, \hat{y}

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Avinash

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