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Chapter 22: Problem 5

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 magnetic field direction at a point due south of the transmitter is west.

Step by step solution

01

Understand the right-hand rule and orientation of antenna

In order to find the direction of the magnetic field, remember the right-hand rule principle when determining the direction of the magnetic field produced by moving charges or currents. Point your thumb in the direction of the current and your fingers will curl in the direction of the magnetic field around the conductor. In this case, the electric dipole antenna is oriented vertically, so the current runs up and down along its length.
02

Apply the right-hand rule to the dipole antenna

Imagine placing your right hand on the dipole antenna with your thumb pointing upward, along the direction of the current. Your fingers will curl around the antenna, representing the direction of the magnetic field. Recall that radio waves propagate perpendicularly to both electric and magnetic field directions.
03

Determine the direction of wave's magnetic field at the point due south of the transmitter

Since the point is due south of the transmitter, the wave propagation direction is outward from the antenna towards the south (horizontally). Considering the right-hand rule applied to the antenna (thumb pointing upward and fingers curled), at the point south of the antenna, your fingers would be pointing west. This indicates that at the point due south of the transmitter, the wave's magnetic field direction is west.

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