/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 34 Identify The electric field in a... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Identify The electric field in a given electromagnetic wave is vertical and the magnetic field is horizontal. What is the direction of polarization of this wave?

Short Answer

Expert verified
The direction of polarization is vertical.

Step by step solution

01

Understand Polarization

Polarization refers to the orientation of the electric field in an electromagnetic wave. In general, an electromagnetic wave consists of an electric field and a magnetic field that are perpendicular to each other and to the direction of wave propagation.
02

Determine Electric Field Orientation

In the given problem, it is stated that the electric field is vertical. Polarization is defined by the orientation of the electric field, so this is a critical detail for making the determination.
03

Identify Magnetic Field Orientation

The problem specifies that the magnetic field is horizontal. Although this information is prescriptive for understanding the wave structure, it does not directly affect the polarization direction since polarization is solely defined by the electric field's orientation.
04

Conclusion Based on Electric Field

Since the direction of polarization is determined by the orientation of the electric field, and the problem states that the electric field is vertical, the direction of polarization will also be vertical.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Electric Field Orientation
The electric field orientation is a key factor in understanding electromagnetic waves, as it defines the direction of polarization. In an electromagnetic wave, both the electric field and the magnetic field oscillate perpendicularly to each other and to the direction in which the wave travels. However, when we talk about polarization, we're focusing specifically on the direction of the electric field. This property is crucial because it tells us how the wave interacts with materials and how it propagates through different environments.

For example, if the electric field is aligned vertically, the wave is said to be polarized vertically. This means that as the wave moves, the electric field vectors point up and down, perpendicular to the direction of travel. The orientation of the electric field vector is not just an abstract concept; it has practical implications for how we design antennas and other electronic devices to correctly interpret and transmit signals.
Magnetic Field Orientation
While the electric field determines the polarization direction of the wave, the magnetic field also plays an essential role in the complete behavior and nature of electromagnetic waves. The orientation of the magnetic field is always perpendicular to both the electric field and the direction of wave propagation. This perpendicular arrangement is fundamental to the wave's propagation through space.

In the given exercise, the magnetic field is horizontal, which means it oscillates from side to side when looking from the direction that the wave travels. Although the exact orientation of the magnetic field doesn't directly influence the polarization state, it is important for understanding the structure and dynamics of the wave.
  • Magnetic fields are crucial for applications in electromagnetics, such as in the functioning of inductors and transformers.
  • Understanding the magnetic field orientation helps us measure and predict how electromagnetic fields will exert forces on charges and currents.
Wave Propagation Direction
The wave propagation direction is the path along which an electromagnetic wave travels through space. Understanding this direction is critical for analyzing electromagnetic waves in various contexts, like broadcasting signals and medical imaging.

Electromagnetic waves, including those used in radio and television broadcasts, light, and X-rays, propagate through different mediums following the right-hand rule. This rule states that if you point the thumb of your right hand in the direction of the electric field and your index finger in the direction of the magnetic field, then your middle finger will point in the direction of wave propagation.
  • This alignment shows why these waves can transmit energy across space even in a vacuum, where no particles exist.
  • The precise propagation direction is essential for designing communication systems, ensuring that signals arrive accurately at their intended destinations.
By considering the electric field vertically and the magnetic field horizontally, the wave will propagate perpendicularly to both, adhering to this consistent electromagnetic principle.

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Most popular questions from this chapter

A beam of horizontally polarized light passes through a polarizer whose transmission axis is at an angle of \(35.0^{\circ}\) with the vertical. If the intensity of the transmitted light is \(0.55 \mathrm{~W} / \mathrm{m}^{2}\), what was the initial intensity of the beam?

UV Radiation Ultraviolet light is typically divided into three categories. UV-A, with wavelengths between \(400 \mathrm{~nm}\) and \(320 \mathrm{~nm}\), has been linked with malignant melanomas. UV-B radiation, which is the primary cause of sunburn and skin cancers other than malignant melanomas, has wavelengths between \(320 \mathrm{~nm}\) and \(280 \mathrm{~nm}\). Finally, the region known as UV-C extends to wavelengths of \(100 \mathrm{~nm}\). (a) Find the range of frequencies for UV-B radiation. (b) In which of these three categories does radiation with a frequency of \(7.9 \times 10^{14} \mathrm{~Hz}\) belong?

Apply The magnitude of the Doppler effect tells how rapidly a source of light is moving. What determines whether the source is approaching or moving away from the observer?

Polarized Spider Vision The jumping spider Drassodes cupreus has a pair of eyes that behave like polarization filters. The transmission axes of the two eyes have an angle of \(90^{\circ}\) between them. Suppose linearly polarized light with an intensity of \(825 \mathrm{~W} / \mathrm{m}^{2}\) shines from the sky onto the spider and that the intensity transmitted by one of the polarizing eyes is \(212 \mathrm{~W} / \mathrm{m}^{2}\). (a) For this eye, what is the angle between its transmission axis and the polarization direction of the incident light? (b) What is the intensity transmitted by the other polarizing eye?

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