Recent content by SSGD

  1. SSGD

    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...
  2. SSGD

    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...
  3. SSGD

    I Optimization of an Amplifer Circuit

    Okay. I will see if I can write a little program to minimize the above expression.
  4. SSGD

    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...
  5. SSGD

    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...
  6. SSGD

    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)##...
  7. SSGD

    I Optimization of an Amplifer Circuit

    Man, I need to proof read my posts before sending them... Sorry for all the errors...
  8. SSGD

    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...
  9. SSGD

    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...
  10. SSGD

    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...
  11. SSGD

    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.
  12. SSGD

    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.
  13. SSGD

    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...
  14. SSGD

    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.
  15. SSGD

    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.
Back
Top