Which of the following pairs of components ca | vedclass

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Question

(B) In a plane electromagnetic wave,the electric field vector $\vec{E}$,the magnetic field vector $\vec{B}$,and the direction of propagation $\vec{k}$

Vedclass · Accepted Answer

$E_y, B_z$

Vedclass · Answer

(B) In a plane electromagnetic wave,the electric field vector $\vec{E}$,the magnetic field vector $\vec{B}$,and the direction of propagation $\vec{k}$ are mutually perpendicular to each other.Specifically,the direction of propagation is given by the direction of the Poynting vector $\vec{S} = \frac{1}{\mu_0} (\vec{E} 	imes \vec{B})$.For a plane wave propagating along a specific axis (e.g.,$x$-axis),the electric field must be in the $y$-direction $(E_y)$ and the magnetic field must be in the $z$-direction $(B_z)$,or vice versa.If the wave propagates along the $x$-axis,then $\vec{E} = E_y\hat{j}$ and $\vec{B} = B_z\hat{k}$.Thus,the pair $(E_y, B_z)$ is a valid combination for an electromagnetic wave propagating along the $x$-axis.

Which of the following pairs of components can produce a plane electromagnetic wave propagating in a direction such that the electric field $\vec{E} = (E_x\hat{i} + E_y\hat{j} + E_z\hat{k})$ and magnetic field $\vec{B} = (B_x\hat{i} + B_y\hat{j} + B_z\hat{k})$ vary with position and time?

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On a particular day,the sun delivers an average power of $\left(\frac{6}{\pi} \times 10^3\right) \frac{W}{m^2}$ to the top of Earth's atmosphere. Find the amplitude of the magnetic field for the electromagnetic waves above the atmosphere. (Take $\mu_0 = 4\pi \times 10^{-7} \text{ SI units}$)

The correct statement among the following is:

An electromagnetic wave is propagating in vacuum along $-\hat{j}$ direction. The magnetic field of the wave is given by $\vec{B} = (2 \times 10^{-8}) \cos [\pi \times 10^{15}(t + \frac{y}{c})] \hat{k} \text{ T}$. The electric field $\vec{E}$ of this wave is $(c = \text{speed of light})$

$A$ light wave is travelling along the $y$-direction. If the corresponding $\vec E$ vector at any time is along the $x$-axis,the direction of the $\vec B$ vector at that time is along:

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