For a plane electromagnetic wave propagating | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The direction of propagation of an electromagnetic wave is given by the direction of the Poynting vector,which is $\vec{E} 	imes \vec{B}$.Given t

Vedclass · Accepted Answer

$-\hat{j} + \hat{k}, -\hat{j} - \hat{k}$

Vedclass · Answer

(B) The direction of propagation of an electromagnetic wave is given by the direction of the Poynting vector,which is $\vec{E} 	imes \vec{B}$.Given the wave propagates in the $x$-direction,we must have $\vec{E} 	imes \vec{B} \parallel \hat{i}$.For option $B$: $\vec{E} = -\hat{j} + \hat{k}$ and $\vec{B} = -\hat{j} - \hat{k}$.Calculating the cross product: $\vec{E} 	imes \vec{B} = (-\hat{j} + \hat{k}) 	imes (-\hat{j} - \hat{k}) = (-\hat{j} 	imes -\hat{j}) + (-\hat{j} 	imes -\hat{k}) + (\hat{k} 	imes -\hat{j}) + (\hat{k} 	imes -\hat{k}) = 0 + \hat{i} + \hat{i} + 0 = 2\hat{i}$.Since $2\hat{i}$ is in the $x$-direction,option $B$ is correct.

For a plane electromagnetic wave propagating in the $x$-direction,which one of the following combinations gives the correct possible directions for the electric field $(\vec{E})$ and magnetic field $(\vec{B})$ respectively?

Similar Questions

Ethanol,when reacted with $PCl_5$,gives $A$,$POCl_3$,and $HCl$. $A$ reacts with silver nitrite to form $B$ (major product) and $AgCl$. $A$ and $B$ are respectively:

The cell reaction $Mn + 2Ag_{(C_1)}^{+} (aq) \to Mn_{(C_2)}^{+2} (aq) + 2Ag$ is represented by

Among $Ni(CO)_4$,$[Ni(CN)_4]^{2-}$,and $[Ni(Cl)_4]^{2-}$,which of the following statements is correct regarding their magnetic properties?

Inbreeding depression is primarily associated with which of the following?

Vedclass Test Series

Exam Paper Generator

Online Exam Module