A station has an assigned frequency of 8000 kHz and a frequency tolerance of plus or minus 0.04%. The oscillator operates at 1/8th of the input. What is the maximum permitted deviation of the oscillation frequency in Hz, which will not exceed the tolerance?
• Frequency tolerance as a percentage of the assigned frequency • Relationship between oscillator frequency and input frequency (here, 1/8th) • How to convert a deviation in kHz to Hz and compare with the answer choices
• First, calculate what 0.04% of 8000 kHz is, in kHz and then in Hz. How many Hz of deviation at the signal (8000 kHz) level does the tolerance allow? • If the oscillator runs at 1/8 of the input frequency, how does a given change in oscillator frequency translate to a change in the final assigned frequency? Does it get multiplied or divided? • Once you know the allowed deviation at the assigned frequency, work backward to find the maximum deviation allowed at the oscillator frequency that would still keep the final signal within tolerance.
• Be sure to convert 0.04% to a decimal correctly before multiplying by 8000 kHz. • Double‑check the conversion from kHz to Hz (1 kHz = 1000 Hz). • Confirm whether you should multiply or divide by 8 when going from final frequency deviation back to oscillator frequency deviation.
No comments yet
Be the first to share your thoughts!