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 $\vec{E}=E_{0} \cos (\omega t-k z) \hat{i}$

$\vec{B}=\frac{E_{0}}{C} \cos (\omega t-k z) \hat{j}$

$\hat{C}=\hat{E} \times \hat{B}$