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Chapter 29: Problem 25

An electromagnetic wave is propagating in the \(z\) -direction. What's its polarization direction if its magnetic field is in the \(y\) -direction?

Short Answer

Expert verified
The polarization direction of the electromagnetic wave is in the \(x\) -direction.

Step by step solution

01

Recognize the Nature of Electromagnetic Waves

Understand that in electromagnetic waves, the electric field, magnetic field, and direction of propagation are always perpendicular to each other.
02

Apply the Principle to the Given Information

Given that the wave is propagating in the \(z\) -direction and that the magnetic field is in the \(y\) -direction, we apply the principle of electromagnetic waves to determine that the electric field must be in the direction that is perpendicular to both the \(z\) -direction and the \(y\) -direction. In a 3D coordinate system, this leaves only the \(x\) -direction.
03

Identify the Polarization Direction

The polarization direction of an electromagnetic wave is determined by the direction of its electric field. Therefore, given that the electric field is in the \(x\) -direction, the polarization direction is also in the \(x\) -direction.

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Most popular questions from this chapter

The speed of an electromagnetic wave is given by \(c=\lambda f .\) How does the speed depend on frequency? On wavelength?

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