Question
Magnetic field in a plane electromagnetic wave is given by 

$\vec B = {B_0}\,\sin \,\left( {kx + \omega t} \right)\hat jT$

 Expression for corresponding electric field will be Where $c$ is speed of light

Answer

Speed of $EM$ wave in force space $\left( c \right) = \frac{{{E_0}}}{{{B_0}}}\,$

or $\vec E = c{B_0}{\mkern 1mu} \sin {\mkern 1mu} \left( {kx + \omega t} \right)\hat k$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Consider a cylinder of mass $M$ resting on a rough horizontal rug that is pulled out from under it with acceleration $'a'$ perpendicular to the axis of the cylinder. What is $F_{friction}$ at point $P$ ? It is assumed that the cylinder does not slip
A lead bullet at $27°C$ just melts when stopped by an obstacle. Assuming that $25\%$ of heat is absorbed by the obstacle, then the velocity of the bullet at the time of striking........ $m/sec$  ($M.P.$ of lead $= 327°C,$ specific heat of lead $= 0.03\, cal/gm°C,$ latent heat of fusion of lead $= 6\, cal/gm$ and $J = 4.2\, joule/cal)$
A particle moves $21\, m$ along the vector $6\hat i + 2\hat j + 3\hat k$ , then $14\, m$ along the vector $3\hat i - 2\hat j + 6\hat k$ . Its total displacement (in meters) is
A ball thrown by one player reaches the other in $2\, sec$. The maximum height attained by the ball above the point of projection will be about .......... $m$
The $x$ and $y$ coordinates of a particle at any time $t$ are given by $x = 7t + 4{t^2}$ and $y = 5t$, where $x$ and $y$ are in metre and $t$ in seconds. The acceleration of particle at $t = 5\;s$ is.........$m/{s^2}$
Two coils $A$ and $B$ having turns $300$ and $600$ respectively are placed near each other, on passing a current of $3.0$ ampere in $A$, the flux linked with A is $1.2 \times {10^{ - 4}}\,weber$ and with $B$ it is $9.0 \times {10^{ - 5}}\,weber$. The mutual inductance of the system is
If the molecular weight of two gases are $M_1$ and $ M_1$, then at a temperature the ratio of root mean square velocity $v_1$ and $v_2$ will be
Each of two large conducting parallel plates has one sided surface area $A$. If one of the plates is given a charge $Q$ whereas the other is neutral, then the electric field at a point in between the plates is given by
Large transformers, when used for some time, become hot and are cooled by circulating oil. The heating of transformer is due to
A free neutron decays into a proton but a free proton does not decay into neutron. This is because