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.

Step 1

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

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

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

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

Step 3

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

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

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