Chapter 8: Problem 21

Alternating current with a frequency of 1 million \(\mathrm{Hz}\) flows in a wire. What in particular could be detected traveling outward from the wire?

Short Answer

Expert verified

Answer: Radio waves

Step by step solution

Understand the given information

The problem states that an alternating current with a frequency of 1 million Hz (1 MHz) is flowing in a wire. An alternating current means that the current changes its direction periodically.

Recall the relation between electric current, magnetic field, and electromagnetic waves

When an electric current flows through a wire, it generates a magnetic field surrounding the wire. Given that the current is alternating, both the electric and magnetic fields are constantly changing, resulting in the generation of electromagnetic waves.

Determine the type of electromagnetic wave

The frequency of the alternating current (1 MHz) is the same as the frequency of the generated electromagnetic wave. It is important to know the type of electromagnetic wave corresponding to this frequency. The electromagnetic spectrum includes: radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. Each type of wave occupies a specific range of frequencies. In this case, since the frequency is 1 MHz (which equals \(10^6\) Hz), we are dealing with radio waves (whose frequency range usually lies between \(3\times10^4\) Hz and \(3\times10^{11}\) Hz).

Identify what could be detected traveling outward from the wire

Since electromagnetic waves, specifically radio waves, are generated due to the alternating current flowing in the wire, these radio waves can be detected traveling outward from the wire. Radio waves are used for many applications, including broadcasting, communication, and radar systems. These waves can be detected using devices designed to receive radio frequency signals or using instruments that can measure electromagnetic fields.

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Alternating current with a frequency of 1 million \(\mathrm{Hz}\) flows in a wire. What in particular could be detected traveling outward from the wire?

Short Answer

Step by step solution

Understand the given information

Recall the relation between electric current, magnetic field, and electromagnetic waves

Determine the type of electromagnetic wave

Identify what could be detected traveling outward from the wire

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