The vectors $\vec{E}$ and $\vec{B}$ of an electromagnetic wave in vacuum are

  • A
    along the same direction but out of phase by $90^o$
  • B
    along the same direction and in phase
  • C
    perpendicular to each other and in phase
  • D
    perpendicular to each other and out of phase by $90^o$

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Which one of the following statements is correct?

In an electromagnetic wave in free space,the root mean square value of the electric field is $E_{rms} = 6 \, V m^{-1}$. The peak value of the magnetic field is:

In a plane $EM$ wave,the electric field oscillates sinusoidally at a frequency of $5 \times 10^{10} \,Hz$ and an amplitude of $50 \,Vm^{-1}$. The total average energy density of the electromagnetic field of the wave is :
[Use $\varepsilon_0 = 8.85 \times 10^{-12} \,C^2 / Nm^2$ ]

For an $EM$ wave,the electric field intensity due to a bulb of $100\ W$ at a distance of $3\ m$ is $E$. What is the electric field intensity produced by radiations coming from a $50\ W$ bulb at the same distance?

Suppose that the electric field amplitude of an electromagnetic wave is $E_{0} = 120 \; N/C$ and that its frequency is $\nu = 50.0 \; MHz$.
$(a)$ Determine $B_{0}, \omega, k,$ and $\lambda$.
$(b)$ Find expressions for $E$ and $B$.

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