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New KCC Quiz AQQ299 about Opamp Open Loop Gain and LTspice

A kind proposal from Al Butvidas

1. Quote of the month: "A good friend calls you in jail. A great friend bails you out of jail. Your best friend sits next to you and says 'wasn't that fun?'" - unknown

2. New quiz AQQ299 about an amazing observation on LTspice and an opamp loop gain. This quiz is a kind proposal from Al Butvas at  

As most engineers know, the loop gain {T(s)} of a feedback configuration is a complex function of frequency and

is typically expressed on a Bode plot showing |T(s)| (in dB units) and ∠T(s) (in degrees) over the frequency (s = j2πf) range of interest.

It has been observed when doing some measurements of loop gain {T(s)} on an op amp configuration using LTspice,

one can notice there are points where the absolute value of:

                                  20 Log10|T(s)| equals |T(s)|

Question: on the magnitude plot, find the point(s) such that:

         

We count on  advises if additional details are asked!

Good luck and try to be among the first ones!

Kuo-Chang

Edit Notes

corrected the title
[edited by: ambugua at 12:32 PM (GMT -4) on 17 Apr 2026]
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Parents
  • There are 3 points where |T(s)| = |T(s)| (in dB units).  An analytical solution of this problem would be very cumbersome.  Graphing works to approximate a point then refine it to improve the answer.  If you don’t have any tools on your PC to solve it, there’s always the web (or A.I.) where an equation solver was found (mathway.com) and produced the following values and graphs.

    Similar points for RF power (10logP) are 0.8266713…, 1.371288…, and 10.

Reply
  • There are 3 points where |T(s)| = |T(s)| (in dB units).  An analytical solution of this problem would be very cumbersome.  Graphing works to approximate a point then refine it to improve the answer.  If you don’t have any tools on your PC to solve it, there’s always the web (or A.I.) where an equation solver was found (mathway.com) and produced the following values and graphs.

    Similar points for RF power (10logP) are 0.8266713…, 1.371288…, and 10.

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