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dodal polje zanke in magnetne flase. nastudiraj transform polja

master
Andrej 2021-06-14 10:33:14 +02:00
parent db6af93ee8
commit 2a1d6f7b30
1 changed files with 27 additions and 0 deletions
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boris.py
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@ -4,6 +4,7 @@ import matplotlib.pyplot as plt
from matplotlib import rc
rc('font',**{'family':'serif','serif':['Computer Modern']})
rc('text', usetex=True)
from scipy.special import ellipe,ellipk
e = 1.602176565e-19 #osnovni naboj [C]
m_pr = 1.672621777e-27 #masa protona [kg]
@ -53,6 +54,32 @@ def B_zemlja(x):
k = -B0*Rz**3/r**5
return k*np.array([3*x[0]*x[2],3*x[1]*x[2],2*x[2]**2-x[0]**2-x[1]**2])
def B_loop(p, a):
''' polje magnetne zanke polmera a v xy ravnini, normiran tok 1A
glej: Sinigoj, ELMG polje, stran 200'''
mu = 1e-7 # mu/4/pi
x,y,z = p
r = np.sqrt(x**2+y**2)
R0 = np.sqrt((r+a)**2+z**2))
m = 4*a*r/( (r+a)**2+z**2)
K = ellipk(m)
E = ellipe(m)
Br = -mu * z/r/R0 * (2*K - (2-m)*E/(1-m))
Bz = mu/R0 * (2*K - (2-m*(r+a)/r)*E/(1-m))
return np.array([Br*x/r, Br*y/r, Bz])
def B_bottle(p, a, h, I):
''' polje magnetne steklenice visine 2h in polmera a
'''
B1 = B_loop(p-np.array([0.,0.,h]),a)*I
B2 = B_loop(p+np.array([0.,0.,h]),a)*I
return B1+B2
def Wk(m,V):
return 0.5*m*np.sum(V**2,1)