Electromagnetic Waves Question 5
Question 5 - 2024 (30 Jan Shift 1)
The electric field of an electromagnetic wave in free space is represented as $\vec{E}=E_{0} \cos (\omega t-k z) \hat{i}$.
The corresponding magnetic induction vector will be :
(1) $\vec{B}=E_{0} C \cos (\omega t-k z) \hat{j}$
(2) $\vec{B}=\frac{E_{0}}{C} \cos (\omega t-k z) \hat{j}$
(3) $\vec{B}=E_{0} \operatorname{Cos}(\omega t+k z) \hat{j}$
(4) $\vec{B}=\frac{E_{0}}{C} \cos (\omega t+k z) \hat{j}$
Show Answer
Answer: (2)
Solution:
Given $\vec{E}=E_{0} \cos (\omega t-k z) \hat{i}$
$\vec{B}=\frac{E_{0}}{C} \cos (\omega t-k z) \hat{j}$
$\hat{C}=\hat{E} \times \hat{B}$