/*! 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 6 An electric dipole antenna use... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 22: Problem 6

An electric dipole antenna used to transmit radio waves is oriented vertically.At a point due south of the transmitter, what is the direction of the wave's magnetic field?

Short Answer

Expert verified
Answer: The direction of the magnetic field at a point due south of the transmitter will be vertically downward.

Step by step solution

01

Understand the right-hand rule for magnetic fields

The right-hand rule helps us determine the direction of the magnetic field around a current-carrying wire. The rule states that if you point your thumb in the direction of the conventional current, your fingers will curl around the wire in the direction of the magnetic field.
02

Apply the right-hand rule to the dipole antenna

A dipole antenna has two poles, one at the top and one at the bottom. The top pole acts as a current-carrying wire with the current going upward, while the bottom pole acts as a current-carrying wire with the current going downward. Let's apply the right-hand rule to the top and bottom poles of the antenna. Top pole: Place your right thumb pointing upward, in the direction of the conventional current in the top pole of the antenna. Your fingers will curl around the wire in the counterclockwise direction, indicating the magnetic field's direction around the top pole. Bottom pole: Place your right thumb pointing downward, in the direction of the conventional current in the bottom pole of the antenna. Your fingers will curl around the wire in the clockwise direction, indicating the magnetic field's direction around the bottom pole.
03

Determine the direction of the magnetic field due south of the transmitter

At a point due south of the transmitter, we need to consider the effects of both the top and bottom poles of the antenna. The magnetic field of the top pole has a counterclockwise direction, while the magnetic field of the bottom pole has a clockwise direction. At a point due south of the transmitter, these two magnetic fields will cancel each other out horizontally to create a magnetic field that is vertically oriented. Therefore, the direction of the magnetic field at a point due south of the transmitter will be vertically downward.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Verify that the equation \(I=\langle u\rangle c\) is dimensionally consistent (i.e., check the units).
Vertically polarized light with intensity \(I_{0}\) is normally incident on an ideal polarizer. As the polarizer is rotated about a horizontal axis, the intensity \(I\) of light transmitted through the polarizer varies with the orientation of the polarizer \((\theta),\) where \(\theta=0\) corresponds to a vertical transmission axis. Sketch a graph of \(I\) as a function of \(\theta\) for one complete rotation of the polarizer $\left(0 \leq \theta \leq 360^{\circ}\right)$.(W) tutorial: polarized light).
The electric field in a microwave traveling through air has amplitude $0.60 \mathrm{mV} / \mathrm{m}\( and frequency \)30 \mathrm{GHz}$. Find the amplitude and frequency of the magnetic field.
An electric dipole antenna used to transmit radio waves is oriented vertically.At a point due south of the transmitter, what is the direction of the wave's magnetic field?
A magnetic dipole antenna is used to detect an electromagnetic wave. The antenna is a coil of 50 turns with radius \(5.0 \mathrm{cm} .\) The EM wave has frequency \(870 \mathrm{kHz}\) electric field amplitude $0.50 \mathrm{V} / \mathrm{m},\( and magnetic field amplitude \)1.7 \times 10^{-9} \mathrm{T} .$ (a) For best results, should the axis of the coil be aligned with the electric field of the wave, or with the magnetic field, or with the direction of propagation of the wave? (b) Assuming it is aligned correctly, what is the amplitude of the induced emf in the coil? (Since the wavelength of this wave is much larger than \(5.0 \mathrm{cm},\) it can be assumed that at any instant the fields are uniform within the coil.) (c) What is the amplitude of the emf induced in an electric dipole antenna of length \(5.0 \mathrm{cm}\) aligned with the electric field of the wave?
See all solutions

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Read Explanation

Geometrical and Physical Optics

Read Explanation

Electromagnetism

Read Explanation

Linear Momentum

Read Explanation

Waves Physics

Read Explanation

Solid State Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.