Recent content by SSGD

  1. SSGD

    Undergrad 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

    Undergrad 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

    Undergrad Optimization of an Amplifer Circuit

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

    Undergrad 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

    Undergrad 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

    Undergrad 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

    Undergrad Optimization of an Amplifer Circuit

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

    Undergrad 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

    Undergrad 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

    High School 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

    High School 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.