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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

Understanding the Basics

Electromagnetic waves consist of oscillating electric and magnetic fields. These fields are always perpendicular (at right angles) to each other and to the direction of propagation of the wave.
02

Relating the Directions

In this exercise, the direction of propagation is given as the \(z\)-direction and the direction of the magnetic field as the \(y\)-direction. By the right-hand rule, if the thumb points in the direction of propagation and the middle finger in the direction of the magnetic field, then the pointing finger shows the direction of the electric field.
03

Determining Polarization Direction

The direction of polarization of an electromagnetic wave is the direction in which the electric field oscillates. Therefore, as per the right-hand rule, the polarization direction of this wave is the \(x\)-direction.

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