Question

Assuming the speed of light determine the longest lengths of wire pairs that can be allowed based on the 10 percent rule

Calculate the free-space wavelength in meters for the following frequencies:
(a) 2kHz
(b) 200kHz
(c) 20MHz
(d) 2GHz

Answer 1

The longest length of a wire pair is determined by the 10 percent rule. We can calculate the free-space wavelength for different frequencies using the formula: Wavelength = Speed of Light / Frequency. For 2kHz, the wavelength is approximately 150,000 meters. For 200kHz, the wavelength is approximately 1,500 meters. For 20MHz, the wavelength is approximately 15 meters. For 2GHz, the wavelength is approximately 0.15 meters.

Step-by-step explanation:

The longest length of a wire pair that can be allowed is determined by the 10 percent rule. According to this rule, the length of a wire pair should not exceed 10 percent of the wavelength of the signal being transmitted. To calculate the free-space wavelength in meters for the given frequencies, we can use the formula:

Wavelength (λ) = Speed of Light (c) / Frequency (f)

1. For a frequency of 2kHz, the wavelength would be approximately 150,000 meters.
2. For a frequency of 200kHz, the wavelength would be approximately 1,500 meters.
3. For a frequency of 20MHz, the wavelength would be approximately 15 meters.
4. For a frequency of 2GHz, the wavelength would be approximately 0.15 meters (or 15 centimeters).