If the output frequency after passing through three doubler stages is 16,800 kHz, what is the crystal frequency of a transmitter?

If the output frequency after passing through three doubler stages is 16,800 kHz, what is the crystal frequency of a transmitter?

• A. 2160 kHz
• B. 2 GHz
• C. 2110 kHz
• D. 2 kHz

Answer: (C)

To determine the crystal frequency of a transmitter when the output frequency after three doubler stages is 16,800 kHz, it is important to understand how frequency doubling works. Each time a signal passes through a frequency doubler, the output frequency is twice the input frequency. Starting from the output frequency of 16,800 kHz, we will backtrack through the three doubling stages: 1. The output from the third doubler stage is 16,800 kHz. 2. Prior to the third doubler, the frequency would be half of the output frequency: - 16,800 kHz / 2 = 8,400 kHz (this is the frequency after the second doubler). 3. Continuing back, prior to the second doubler: - 8,400 kHz / 2 = 4,200 kHz (this is the frequency after the first doubler). 4. Lastly, prior to the first doubler, the frequency would be: - 4,200 kHz / 2 = 2,100 kHz. Therefore, the crystal frequency, which is the original frequency that has been doubled through three stages to reach the final output of 16,800 k

To determine the crystal frequency of a transmitter when the output frequency after three doubler stages is 16,800 kHz, it is important to understand how frequency doubling works. Each time a signal passes through a frequency doubler, the output frequency is twice the input frequency.

Starting from the output frequency of 16,800 kHz, we will backtrack through the three doubling stages:

1. The output from the third doubler stage is 16,800 kHz.

2. Prior to the third doubler, the frequency would be half of the output frequency:

• 16,800 kHz / 2 = 8,400 kHz (this is the frequency after the second doubler).

3. Continuing back, prior to the second doubler:

• 8,400 kHz / 2 = 4,200 kHz (this is the frequency after the first doubler).

4. Lastly, prior to the first doubler, the frequency would be:

• 4,200 kHz / 2 = 2,100 kHz.

Therefore, the crystal frequency, which is the original frequency that has been doubled through three stages to reach the final output of 16,800 k