Question

An EM wave has angular frequency \( \omega \).
Propagation constant \( \mathbf{k} \) and electric field vector \( \mathbf{E} \) is given, then \( \mathbf{B} \) can be represented by:

• A. \( \mathbf{B} = \omega (\mathbf{K} \times \mathbf{E}) \)
• B. \( \mathbf{B} = \omega (\mathbf{E} \times \mathbf{K}) \)
• C. \( \mathbf{B} = \frac{1}{\omega} (\mathbf{K} \times \mathbf{E}) \)
• D. \( \mathbf{B} = \frac{1}{\omega} (\mathbf{E} \times \mathbf{K}) \)

Hint:

In an EM wave, the electric field \( \mathbf{E} \), magnetic field \( \mathbf{B} \), and wave vector \( \mathbf{K} \) are all perpendicular to each other, and their relationship is given by the cross product.

Answer 1

The Correct Option is C