Calculating Time from 4:1 Mark-Space Ratio @ 10KHz

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SUMMARY

The discussion focuses on calculating time based on a 4:1 mark-space ratio at a frequency of 10 kHz. The total period of the wave is determined to be 100 µs, with the active mark time calculated as 80 µs by applying the formula: (4/5) * 100 µs. The confusion surrounding the term "ratio" is clarified, emphasizing that it represents a division of the total cycle rather than a simple proportion. The calculations confirm that the space time is 20 µs, providing a clear understanding of the duty cycle in this context.

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  • Understanding of frequency and period calculations
  • Knowledge of duty cycle and mark-space ratio concepts
  • Basic arithmetic operations involving fractions
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Hi if I had the ratio of 4:1 and the frequency of 10Khz how would I go about finding the time?
 
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nathan27th said:
Hi if I had the ratio of 4:1 and the frequency of 10Khz how would I go about finding the time?
Who which what?
 
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Perhaps you could cut back on other activities? It's always hard to find time, but if something is important most people manage. o_O

Another term for the mark space ratio is duty cycle.

At 10kHz, the entire wave is 100µs and the active part (usually the high part) is 4/5th of that, so 80µs.

To get this I divided 1 cycle by 10,000 cycles per second and got 1/10,000 (100µs) of a second. Since the mark space ratio divides the cycle into parts, I divided the active parts of the ratio (4) by all the parts of the ratio (4+1=5) and got 0.8. I then multiplied 100µs times 0.8 and got 80µs.

I wasn't really clear what you are asking, but this might answer your question.
 
nathan27th said:
Hi if I had the ratio of 4:1 and the frequency of 10Khz how would I go about finding the time?
Frequency = 10 kHz. Therefore period, T = 1 / 10k = 100 usec.

Ratio 4:1 could mean ( 4 marks + 1 space ) = 20%
That would give mark time = 4/5 * 100 usec = 80 usec and the space time = 20 usec.

The “ratio of 4:1” is a bit confusable. It might mean 20%, 25%, 75% or 80%.
A “ratio” suggests a simple division, not a relative proportion such as 4:1 = 4 / (4 + 1 ).
 

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