If $\vec{E}$ and $\vec{B}$ are the electric and magnetic field vectors of an electromagnetic wave,then the direction of propagation of the electromagnetic wave is

  • A
    along the direction of $\vec{E}$
  • B
    along the direction of $\vec{B}$
  • C
    parallel to the direction of $\vec{E} \times \vec{B}$
  • D
    perpendicular to the direction of $\vec{E} \times \vec{B}$

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The electric field in an electromagnetic wave is given by $E = 50 \sin \frac{2 \pi}{\lambda}(ct - x) \ N/C$. Find the energy contained in a cylindrical region of cross-section $10 \ cm^2$ and length $50 \ cm$ along the $x$-axis.

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$(a)$ Magnetic field
$(b)$ Magnetic energy
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