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import numpy as np
import matplotlib.pyplot as plt
E = 1.0
r = 1.0
R = np.linspace(0.001, 5, 500)
P = E**2 * R / (R + r)**2
plt.plot(R, P)
plt.xlabel("R")
plt.ylabel("P(R)")
plt.grid(True)
plt.savefig("2.png", dpi=300, bbox_inches="tight")
plt.show()

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import numpy as np
import matplotlib.pyplot as plt
r = 1.0
R = np.linspace(0.001, 10, 500)
eta = R / (R + r)
plt.plot(R, eta)
plt.xlabel("R")
plt.ylabel("η(R)")
plt.grid(True)
plt.savefig("4.png", dpi=300, bbox_inches="tight")
plt.show()

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import numpy as np
import matplotlib.pyplot as plt
R = 1.0
E0 = 1.0
r = np.linspace(0, 2.5*R, 500)
E = np.where(r <= R, E0 * r / R, E0 * (R**2) / (r**2))
# plot
plt.plot(r, E)
plt.xlabel("r")
plt.ylabel("E(r)")
plt.grid(True)
plt.savefig("5.png", dpi=300, bbox_inches="tight")
plt.show()

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