Rankers Physics

Properties of EM Waves: Practice Problem & Solution

The electric and the magnetic field associated with an e.m. wave, propagating along the +z axis, can be represented by: (2011 Pre)
$[\bar{E} = E_0\hat{i}, \bar{B} = B_0\hat{j}]$
$[\bar{E} = E_0\hat{k}, \bar{B} = B_0\hat{i}]$
$[\bar{E} = E_0\hat{j}, \bar{B} = B_0\hat{i}]$
$[\bar{E} = E_0\hat{j}, \bar{B} = B_0\hat{k}]$

Solution Explained:

To solve this problem, we apply the core principles of Properties of EM Waves. Understanding the underlying formula is key to arriving at the correct answer below:

The direction of propagation of an electromagnetic wave is parallel to the Poynting vector, given by the cross product $\bar{E} \times \bar{B}$ . For option a, $\hat{i} \times \hat{j} = \hat{k}$ , which corresponds to the +z axis.

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