Question

The electric field of an electromagnetic wave in free space is represented as \( \vec{E} = E_0 \cos(\omega t - kz) \hat{i} \). The corresponding magnetic induction vector will be:

• A. \( \vec{B} = E_0 C \cos(\omega t - kz) \hat{j} \)
• B. \( \vec{B} = \frac{E_0}{C} \cos(\omega t - kz) \hat{j} \)
• C. \( \vec{B} = E_0 C \cos(\omega t + kz) \hat{j} \)
• D. \( \vec{B} = \frac{E_0}{C} \cos(\omega t + kz) \hat{j} \)

Answer 1

The Correct Option is B

Since \( \vec{B} = \frac{\vec{E}}{C} \times \hat{k} \):

\[ \vec{B} = \frac{E_0}{C} \cos(\omega t - kx) \hat{j} \]