Recent content by SSGD
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		I Area between two closed curves
I have been trying to find an answer to this problem for some time. So I was hoping the community might be able to point me in the right direct. https://drive.google.com/open?id=1Y2hYkRG94whLroK20Zmce07jslyRL3zZ I couldn't get the image to load. So above is a link to an image of the problem...- SSGD
 - Thread
 - Area Closed Curves Line integral
 - Replies: 1
 - Forum: General Math
 
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		I Optimization of an Amplifer Circuit
So I made a little program to try to solve this and in doing so I realized a few things and started doing some reading to see if I could find more answers. I need to explain a few things. All I did with the below expression is factor the R vector and defined P as the percent tolerance matrix...- SSGD
 - Post #12
 - Forum: General Math
 
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		I Optimization of an Amplifer Circuit
Okay. I will see if I can write a little program to minimize the above expression.- SSGD
 - Post #11
 - Forum: General Math
 
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		I Optimization of an Amplifer Circuit
MFB is this more in line with the idea of "Take the derivatives multiplied by the resistances to get a more meaningful quantity to minimize" Most resistors tolerances are in a +/-% of the value of the resistor. G_d\left(\left(I+P\right)\vec R\right) \approx G_d\left(\vec R\right)+\nabla_\vec R...- SSGD
 - Post #9
 - Forum: General Math
 
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		I Optimization of an Amplifer Circuit
A linear approximation for the differential gain and the tolerance could be written as such: G_d\left(\vec R+\vec T\right) \approx G_d\left(\vec R\right)+\nabla_\vec R G_d\left(\vec R\right) \cdot \vec T If we assume the tolerances are all equal we would get the following: G_d\left(\vec...- SSGD
 - Post #6
 - Forum: General Math
 
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		I Optimization of an Amplifer Circuit
I didn't want to list all of the partial derivatives. There would we 10 equations in all and only 4 variables. This would be an over determined system. ##G_d = 1## ##G_s = 0## ##min\left(\frac {\partial G_d} {\partial R_1}\right)## ##min\left(\frac {\partial G_d} {\partial R_2}\right)##...- SSGD
 - Post #4
 - Forum: General Math
 
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		I Optimization of an Amplifer Circuit
Man, I need to proof read my posts before sending them... Sorry for all the errors...- SSGD
 - Post #3
 - Forum: General Math
 
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		I Optimization of an Amplifer Circuit
The gains of an OP-AMP are listed below: G_d = (R_1*R_4+R_2*R_3+2*R_2*R_4)/(2*R_1*(R_3+R_4)) G_s = (R_1*R_4-R_2*R_3)/(R_1*(R_3+R_4)) \frac {\partial G_d} {\partial R_1} = -R_2*(R_3+2*R_4)/(2*R_1^2*(R_3+R_4)) My questions is... Is there a mathematical perform the following: Differential gain...- SSGD
 - Thread
 - Circuit Optimization
 - Replies: 12
 - Forum: General Math
 
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		Job Skills Do Scientist memorize everything they learned?
I am an engineer. I memorized the integral form of the conservation laws (fluids). I memorized the integral form of maxwells equations (electronics). I understand that summation of force equals change in momentum. I understand that a closed geometric loop sums to zero. Force balance doesn't...- SSGD
 - Post #13
 - Forum: STEM Career Guidance
 
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		I Positional Probability of Periodic Object Motion
If you know the velocity of an object as a function of position Can you use a uniform distribution over one period and the object velocity to perform a change of variables for the positional probability. Example. X(t)=Asin(wt) V(t)=Awcos(wt) V(X)=+-Aw(1-(X/A)^2)^(1/2) P(t)=1/T T=Period Change...- SSGD
 - Thread
 - Motion Periodic Probability
 - Replies: 1
 - Forum: Set Theory, Logic, Probability, Statistics
 
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		Microcontroller Pulse Width Modulation to Analog DC Voltage
One question... Can the differential amplifier back feed noise from either PWM signal into the other. I wouldn't want current feedback into the controller/computer. If so would a diode help with this or would it create other issues.- SSGD
 - Post #11
 - Forum: Electrical Engineering
 
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		Microcontroller Pulse Width Modulation to Analog DC Voltage
Sweet. I will have look up some of the details of totem pole and half bridge, but I think I understand what you are saying.- SSGD
 - Post #10
 - Forum: Electrical Engineering
 
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		Microcontroller Pulse Width Modulation to Analog DC Voltage
Well I know this is an old post. But I did come up with a way to directly control a dc motor with two pwm signals without the use of a bridge. 1. Setup two PWM signals with the same period and amplitude of Vmax 2. Pass both signals thru a differential amplifier to get a differential signal...- SSGD
 - Post #8
 - Forum: Electrical Engineering
 
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		B Solve x=Asin(ct) and y=Bsin(dt) for the period of the system of two equations
Each equation has its own period. That is not an issue, there is also a sequence of times where both equations simultaneously repeat. x(t+Tx)=x(t) y(t+Ty)=y(t) x(t+Ts)=x(t) y(t+Ts)=y(t) I am looks for Ts a time that satisfies both equations simultaneously. Sorry for the unclear question.- SSGD
 - Post #5
 - Forum: General Math
 
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		B Solve x=Asin(ct) and y=Bsin(dt) for the period of the system of two equations
It's not homework. And the above equations are the specific problem.- SSGD
 - Post #3
 - Forum: General Math