Magnetic field due to currentHard
Question
A plane electromagnetic wave is moving in free space with velocity c $= 3 \times 10^{8}\text{ }m/s$ and its electric field is given as $\overrightarrow{E} = 54sin(kz - \omega t)\widehat{j}V/m$, where $\widehat{j}$ is the unit vector along y-axis. The magnetic field vector $\overrightarrow{B}$ of the wave is :
Options
A.$- 1.8 \times 10^{- 7}sin(kz - \omega t)\widehat{i}T$
B.$1.4 \times 10^{- 7}sin(kz - \omega t)\widehat{k}T$
C.$1.4 \times 10^{- 7}sin(kz - \omega t)\widehat{i}T$
D.$+ 1.8 \times 10^{- 7}sin(kz - \omega t)\widehat{iT}$
Solution
$\widehat{B} = \widehat{C} \times \widehat{E} = \widehat{k} \times \widehat{j} = - \widehat{i}$
$${\therefore\overrightarrow{B} = \frac{54}{3 \times 10^{8}}sin(kz - \omega t)( - \widehat{i}) }{= - 1.8 \times 10^{- 7}sin(kz - \omega t)\widehat{i}}$$
Create a free account to view solution
View Solution FreeMore Magnetic field due to current Questions
Two concentric coils each of radius equal to 2π cm are placed at right angles to each other. 3A and 4A are the curr...A particle of charge + q and mass m moving under the influence of a uniform electric field Eî and uniform magnetic ...The magnetic field due to a square loop of side a carrying a current I at its centre is...n an electromagnetic wave in free space the root mean square value of the electric field is Erms = 6V/m. The peak value ...Which one of the following line in integrals is correct ? Note : The direction of the loops orientation is shown in fig....