Question
Asked Feb 12, 2020
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Determine the electric field strength at 1 km away from a transmitting vertical wire of 1 m length (in free space) in a direction at right angles from the axis of the wire. The wire carries a current of 5 A at a frequency of 1 MHz.

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Expert Answer

Step 1

The rms value of the electric field strength at some distance r away from a transmitting wire can be expressed as

Electrical Engineering homework question answer, step 1, image 1

 

Step 2

In this case, the values of the length of the wire, current carried by the wire and the frequency of transmission are given as

Electrical Engineering homework question answer, step 2, image 1

Also, the distance at which the electric field is to be measured is given as

Electrical Engineering homework question answer, step 2, image 2

Since the electric field is measured at right angles from the axis of the wire, the effective height of the transmitting wire antenna can be expressed as

Electrical Engineering homework question answer, step 2, image 3

 

Step 3

The wavelength of radiation can be obtained from the frequency of transmission using the following formula:

Electrical Engineering homework question answer, step 3, image 1

Plugging the value of the frequency of transmission into this equation, the value of the wavelength of radiation is found to be

Electrical Engineering homework question answer, step 3, image 2

...

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