The magnetic field of a plane electromagnetic Wave is $\overrightarrow{ B }=3 \times 10^{-8} \sin [200 \pi( y + ct )] \hat{ i }\, T$ Where $c=3 \times 10^{8} \,ms ^{-1}$ is the speed of light. The corresponding electric field is
The magnetic field of a plane electromagnetic Wave is $\overrightarrow{ B }=3 \times 10^{-8} \sin [200 \pi( y + ct )] \hat{ i }\, T$ Where $c=3 \times 10^{8} \,ms ^{-1}$ is the speed of light. The corresponding electric field is
- [JEE MAIN 2020]
- A
$\overrightarrow{ E }=-10^{-6} \sin [200 \pi( y + ct )] \hat{ k }\, \;V / m$
- B
$\overrightarrow{ E }=-9 \sin [200 \pi( y + ct )] \hat{ k }\, \;V / m$
- C
$\overrightarrow{ E }=9 \sin [200 \pi( y + ct )] \hat{ k }\, \;V / m$
- D
$\overrightarrow{ E }=3 \times 10^{-8} \sin [200 \pi( y + ct )] \hat{ k }\, \;V / m$
Similar Questions
A plane $EM$ wave travelling in vacuum along $z-$ direction is given by $\vec E = {E_0}\,\,\sin (kz - \omega t)\hat i$ and $\vec B = {B_0}\,\,\sin (kz - \omega t)\hat j$.
$(i)$ Evaluate $\int {\vec E.\overrightarrow {dl} } $ over the rectangular loop $1234$ shown in figure.
$(ii)$ Evaluate $\int {\vec B} .\overrightarrow {ds} $ over the surface bounded by loop $1234$.
$(iii)$ $\int {\vec E.\overrightarrow {dl} = - \frac{{d{\phi _E}}}{{dt}}} $ to prove $\frac{{{E_0}}}{{{B_0}}} = c$
$(iv)$ By using similar process and the equation $\int {\vec B} .\overrightarrow {dl} = {\mu _0}I + { \in _0}\frac{{d{\phi _E}}}{{dt}}$ , prove that $c = \frac{1}{{\sqrt {{\mu _0}{ \in _0}} }}$
A plane $EM$ wave travelling in vacuum along $z-$ direction is given by $\vec E = {E_0}\,\,\sin (kz - \omega t)\hat i$ and $\vec B = {B_0}\,\,\sin (kz - \omega t)\hat j$.
$(i)$ Evaluate $\int {\vec E.\overrightarrow {dl} } $ over the rectangular loop $1234$ shown in figure.
$(ii)$ Evaluate $\int {\vec B} .\overrightarrow {ds} $ over the surface bounded by loop $1234$.
$(iii)$ $\int {\vec E.\overrightarrow {dl} = - \frac{{d{\phi _E}}}{{dt}}} $ to prove $\frac{{{E_0}}}{{{B_0}}} = c$
$(iv)$ By using similar process and the equation $\int {\vec B} .\overrightarrow {dl} = {\mu _0}I + { \in _0}\frac{{d{\phi _E}}}{{dt}}$ , prove that $c = \frac{1}{{\sqrt {{\mu _0}{ \in _0}} }}$
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]
Ratio of electric field and magnetic field gives which physical quantity ?
Ratio of electric field and magnetic field gives which physical quantity ?
An $LC$ resonant circuit contains a $400 pF$ capacitor and a $100\mu H$ inductor. It is set into oscillation coupled to an antenna. The wavelength of the radiated electromagnetic waves is
An $LC$ resonant circuit contains a $400 pF$ capacitor and a $100\mu H$ inductor. It is set into oscillation coupled to an antenna. The wavelength of the radiated electromagnetic waves is
Which of the following statement is true for displacement current
Which of the following statement is true for displacement current