Discussion Overview
The discussion revolves around determining the y-coordinate on a log plot given an initial coordinate and a specified slope of -6 dB/octave. Participants explore the implications of this slope in terms of dB and its relationship to the x-axis values in a logarithmic scale.
Discussion Character
- Technical explanation
- Mathematical reasoning
- Debate/contested
Main Points Raised
- One participant asks how to determine the new y-coordinate given a slope of -6 dB/octave from an initial coordinate of (10^2, 100).
- Another participant notes that a slope of -6 dB/octave is equivalent to -20 dB/decade.
- It is proposed that the second coordinate could be (10^3, 80) based on the slope.
- Further clarification suggests that if the slope continues to -12, the next coordinate would be (10^4, 40), but this is contested.
- One participant corrects the previous claim, stating that (10^4, 60 dB) would be the correct value for a -20 dB/decade slope.
- There is a question raised about the relationship between the slopes, specifically whether -12 dB corresponds to -40 dB/decade.
Areas of Agreement / Disagreement
Participants express differing views on the correct values for the coordinates based on the slopes discussed. There is no consensus on the implications of the -12 slope, leading to ongoing debate.
Contextual Notes
Participants rely on the definitions of slopes in dB and their conversions to dB/decade, but the discussion does not resolve the mathematical steps or assumptions involved in these conversions.