From f1de1283dcc7a7a1c5ca80136cc77e5221e23160 Mon Sep 17 00:00:00 2001 From: Holden Rohrer Date: Fri, 17 Apr 2020 20:38:26 -0400 Subject: added graph.py basic math --- graph.py | 26 ++++++++++++++++++++++++++ 1 file changed, 26 insertions(+) create mode 100644 graph.py (limited to 'graph.py') diff --git a/graph.py b/graph.py new file mode 100644 index 0000000..0b4cc38 --- /dev/null +++ b/graph.py @@ -0,0 +1,26 @@ +#!/usr/bin/env python + +w = 100 # May vary +c1 = 2.5*10**(-6) +c2 = 1*10**(-6) +r1 = 200 +rload = 1000 + +a = 1 +b = c1*r1*rload + r1*c2*rload + (rload**2)*c2 +c = rload + +print(b**2-4*a*c) +det = (b**2-4*a*c)**(1/2) +r1 = (-b-det)/(2*a) +r2 = (-b+det)/(2*a) + +A = c1*c2*rload**2*w*(rload-w**2)/(b**2*w**2 + rload**2 - 2*rload*w**2 + w**4) +B = b*c1*c2*rload**2*w**3/(b**2*w**2 + rload**2 - 2*rload*w**2 + w**4) +C = - c1*c2*rload**2*w*(rload-w**2)/(b**2*w**2 + rload**2 - 2*rload*w**2 + w**4) +D = - b*c1*c2*rload**3*w/(b**2*w**2 + rload**2 - 2*rload*w**2 + w**4) # from https://www.wolframalpha.com/input/?i=solve+for+x1%2Cx2%2Cx3%2Cx4+in+%7B%7B1%2C0%2C1%2C0%7D%2C+%7Bb%2C1%2C0%2C1%7D%2C+%7BR%2C+b%2C+w%5E2%2C+0%7D%2C+%7B0%2C+R%2C+0%2C+w%5E2%7D%7D*%7Bx1%2Cx2%2Cx3%2Cx4%7D+%3D+%7B0%2C0%2Cw*c_1*c_2*R%5E2%2C0%7D and an insane partial fraction decomposition +E = (D-C*r1)/(r2-r1) +F = C - E +G = B/w + +print(G,B,E,F) -- cgit