Graph Vout/Vin vs Log of Frequency: Units?

In summary, the graph Vout/Vin vs Log of Frequency represents the frequency response of a system, with the x-axis representing logarithmic frequency in Hz and the y-axis representing the ratio of Vout to Vin. The slope of the graph indicates the gain or attenuation of the system and can also show the frequency of maximum gain or resonance. The logarithmic scale is used to accommodate a wider range of frequencies on the same graph. This graph can provide information about the system's sensitivity, resonance, stability, and potential distortions or limitations.
  • #1
mcfetridges
13
0
This is a quick graphing question. We have to graph Vout/Vin versus the log of frequency. Now the Vout/Vin would have no units but what about the log of frequency? Is it hertz or is it also unitless?
 
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  • #2
log(hertz) obviously! Is it important for your graph?
 
  • #3
U need adimensional parameters.Period.Or just plot V_{Out} in terms of V_{in} .

Daniel.

P.S.ln(unit) makes no sense...
 

FAQ: Graph Vout/Vin vs Log of Frequency: Units?

What does the graph Vout/Vin vs Log of Frequency represent?

The graph Vout/Vin vs Log of Frequency represents the frequency response of a system. It shows how the output voltage (Vout) changes in relation to the input voltage (Vin) at different frequencies.

What are the units of the x-axis and y-axis on the graph?

The x-axis represents the logarithm of frequency in Hertz (Hz), while the y-axis represents the ratio of Vout to Vin, which is a unitless quantity.

How do I interpret the slope of the graph?

The slope of the graph represents the gain or attenuation of the system. A steeper slope indicates a higher gain, while a flatter slope indicates a lower gain. The slope can also indicate the frequency at which the system reaches its maximum gain or resonance.

Why is the logarithmic scale used for the frequency axis?

The logarithmic scale is used because it allows for a wider range of frequencies to be plotted on the same graph. This is important for systems with a broad frequency response, as it allows for a more detailed visualization of the data.

What information can I gather from the graph Vout/Vin vs Log of Frequency?

The graph can provide information about the frequency range in which the system is most sensitive, the frequency at which resonance occurs, and the stability of the system. It can also help identify any distortions or limitations in the system's response.

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