Here is a version in Python of program from classic Lisp book (see http://www.daniweb.com/software-development/legacy-languages/code/446235/simple-scheme-functions-for-finding-impedance-for-norvigs-implementation for the details) for calculating impedance of a circuit. (Example circuit with 1MOhm like in the book's code not like in diagram)
Calculating impedance of a RLC circuit
from math import pi, degrees
from cmath import phase
def impedance(circuit, omega):
def r(x):
return x
def l(x):
return complex(0.0, omega * x)
def c(x):
return complex(0.0, -1.0 / (omega * x))
return eval(circuit)
def series(*things):
return sum(things)
def parallel(*things):
return 1. / (sum(1. / value for value in things))
if __name__ == '__main__':
# definition in pairs from LISP implementation
##circuit_a = 'series(r(1), parallel(series(r(100.0),l(0.2)), parallel(c(1e-06),r(1000000.0))))'
# This implementation knows to deal with more than two components in serial/parallel
circuit_a = 'series(r(1), parallel(series(r(100.0),l(0.2)), c(1e-06),r(1000000.0)))'
print(circuit_a)
for omega in 2179.44, 2207.99:
p = impedance(circuit_a, omega)
print('omega = %.2f' % omega)
print(u'rectangular: %.2f + %.2fj' % (p.real, p.imag))
print(u'polar, angle in degrees: %.2f Ω, φ = %.2f °' % (abs(p), degrees(phase(p))))
print('-'*60)
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