If $\vec{E}$ and $\vec{K}$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by : $(\omega-$ angular frequency) :
If $\vec{E}$ and $\vec{K}$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by : $(\omega-$ angular frequency) :
- [JEE MAIN 2023]
- A
$\frac{1}{\omega}(\overrightarrow{ K } \times \overrightarrow{ E })$
- B
$\omega(\vec{E} \times \vec{K})$
- C
$\omega(\overrightarrow{ K } \times \overrightarrow{ E })$
- D
$\overrightarrow{ K } \times \overrightarrow{ E }$
Similar Questions
The electric field of a plane electromagnetic wave propagating along the $x$ direction in vacuum is $\overrightarrow{ E }= E _{0} \hat{ j } \cos (\omega t - kx )$. The magnetic field $\overrightarrow{ B },$ at the moment $t =0$ is :
The electric field of a plane electromagnetic wave propagating along the $x$ direction in vacuum is $\overrightarrow{ E }= E _{0} \hat{ j } \cos (\omega t - kx )$. The magnetic field $\overrightarrow{ B },$ at the moment $t =0$ is :
- [JEE MAIN 2020]
The magnetic field in a travelling electromagnetic wave has a peak value of $20\ n T$. The peak value of electric field strength is......$Vm^{-1}$
The magnetic field in a travelling electromagnetic wave has a peak value of $20\ n T$. The peak value of electric field strength is......$Vm^{-1}$
- [JEE MAIN 2013]
Which of the following is not transported by electromagnetic waves?
Which of the following is not transported by electromagnetic waves?
A plane $EM$ wave travelling along $z-$ direction is described$\vec E = {E_0}\,\sin \,(kz - \omega t)\hat i$ and $\vec B = {B_0}\,\sin \,(kz - \omega t)\hat j$. Show that
$(i)$ The average energy density of the wave is given by $U_{av} = \frac{1}{4}{ \in _0}E_0^2 + \frac{1}{4}.\frac{{B_0^2}}{{{\mu _0}}}$
$(ii)$ The time averaged intensity of the wave is given by $ I_{av}= \frac{1}{2}c{ \in _0}E_0^2$ વડે આપવામાં આવે છે.
A plane $EM$ wave travelling along $z-$ direction is described$\vec E = {E_0}\,\sin \,(kz - \omega t)\hat i$ and $\vec B = {B_0}\,\sin \,(kz - \omega t)\hat j$. Show that
$(i)$ The average energy density of the wave is given by $U_{av} = \frac{1}{4}{ \in _0}E_0^2 + \frac{1}{4}.\frac{{B_0^2}}{{{\mu _0}}}$
$(ii)$ The time averaged intensity of the wave is given by $ I_{av}= \frac{1}{2}c{ \in _0}E_0^2$ વડે આપવામાં આવે છે.
Write characteristics of electromagnetic waves.
Write characteristics of electromagnetic waves.