Calculate Length of Transmitting Antenna for 1.8 GHz Frequency

[XodoX]

Hello, I got the following problem.

1. Assuming that your cell-phone antenna acts like a monopole, how long should it be if the
cell phone operates at a frequency of 1.8 GHz? (Note: 1 GHz = 1000 MHz =
1,000,000,000 Hz.)



2. λ= c/f



f would 1/T, T being the Hz. But that would be 0,0000000001

Then, c is always the same value, right? Which would be c = 2.99792458 × 10⁸ [m/s].

I can't get the result. It's supposed to be about 4 cm

 

[tiny-tim]

Then, c is always the same value, right? Which would be c = 2.99792458 × 10⁸ [m/s].

I can't get the result. It's supposed to be about 4 cm

Hello XodoX!

Convert c to cm/s

 

[nlightner]

Hello,

To calculate the length of a transmitting antenna for a frequency of 1.8 GHz, we can use the formula λ = c/f, where λ is the wavelength, c is the speed of light, and f is the frequency.

First, we need to convert the frequency from GHz to Hz by multiplying it by 1,000,000,000. This gives us a frequency of 1.8 x 10^9 Hz.

Next, we can substitute the values into the formula:

λ = (2.99792458 x 10^8 m/s) / (1.8 x 10^9 Hz)

λ = 0.166 meters

Since we are dealing with a monopole antenna, the length of the antenna will be half of the wavelength. Therefore, the length of the antenna for a frequency of 1.8 GHz would be 0.083 meters or approximately 8.3 cm.

I hope this helps! Let me know if you have any further questions.