20 Log 10. The logarithm of the division of x and y is the difference of logarithm of x and logarithm of y log b (x / y) = log b (x) log b (y) For example log 10 (3 / 7) = log 10 (3) log 10 (7) Logarithm power rule The logarithm of x raised to the power of y is y times the logarithm of x log b (x y) = y ∙ log b (x) For example log 10 (2 8) = 8.
the 10*log10 or 20*log10 is just to further amplify the data according to whether you are measuring Amplitude Voltage or current (Volts Amperes) or Power (Volts)^2 (/R) or I^2 (*R) the reference resistor is usually of well known value in my applications assumed 1 so one calculates the Watts per Ohm.
basic Why 10Log(p1/p2) and 20Log(v1/v2)? Why not just
how do you know when to use dB= 20log (ratio of input/output quantities) or dB=10log (ratio of output and inout) voltage seems to be 20 power seems to be 10 but how about when doing fourier transforms and you want to find out 3dB of maximum for example? thanks Answers and Replies Oct 7 2012 #2 Averagesupernova Science Advisor Gold Member202111302015081220080326.
Common logarithm (base 10) MATLAB log10
Based on my very basic current understanding of decibels in electronics it is said that I should use the db = 10Log (p1/p2) formula if I want to calculate the power ratio in db between two values and the db = 20Log (v1/v2) formula if I want to calculate the voltage (or current) db ration between two values.
Math.Log10(Double) Method (System) Microsoft Docs
Examine several values of the base 10 logarithm function Calculate the common logarithm of 1 log10(1) ans = 0 The result is 0 so this is the xintercept of the log10 function Calculate the common logarithm of 10 log10(10) ans = 1 The result is 1 since 1 0 1 = 1 0 Calculate the common logarithm of 100 log10(100) ans = 2 The result is 2 since 1 0 2 = 1 0 0 Calculate the.
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Many contributions to Control Theory have come from the area of Electrical Engineering one finds that V_dB= 10log_10(V^2/V0^2) = 20log_10(V/V0) which is the reason why Electrical engineers use the dB defined as 20log_10(V/V0) and so Control theorists do! Franco.