58 lines
2.4 KiB
Python
58 lines
2.4 KiB
Python
import numpy as np
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import matplotlib.pyplot as plt
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# Current units: pixels
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# Format: d[0 = small, 1 = large][voltage][0 = inner, 1 = outer]
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diameter_measured = np.array([
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[[570, 646], [567, 725], [623, 750], [730, 866], [800, 962], [861, 1051]],
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[[968, 1090], [1034, 1147], [1036, 1183], [1311, 1461], [1405, 1624], [1476, 1600]]
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])
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diameter_error = 100
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voltages = np.array(np.arange(5000, 2500 - 1, -500)) #-1 to include 2500
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voltages_inv_sqrt = 1 / np.sqrt(voltages)
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# New units: m
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diameter_measured = diameter_measured / 19440
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diameter_measured_error = 100 / 19440
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# Average inner and outer
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# New format: d[0 = small, 1 = large][voltage]
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diameter_measured = np.average(diameter_measured, axis=2)
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# Find actual diameter
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L = 138 / 1000
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r = 63 / 1000
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diameter_actual = L * diameter_measured / (r + np.sqrt(r**2 - diameter_measured**2 / 4))
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diameter_actual_error = (((L * (r + np.sqrt(r**2 - diameter_measured**2 / 4)) + diameter_measured**2 / (2 * np.sqrt(r**2 - diameter_measured**2 / 4)) / 2 * L)/ (r + np.sqrt(r**2 - diameter_measured**2 / 4))**2) * diameter_measured_error)
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fig, axs = plt.subplots(len(diameter_measured), 2, sharex='all')
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fig.tight_layout()
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for size in range(len(diameter_measured)):
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ax = axs[size][0]
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size_name = 'small' if size == 0 else 'large'
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ax.set_xlabel(r'$1/\sqrt{U_0}$')
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ax.set_ylabel(f'$D_M$ ({size_name}) (meters)')
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ax.set_title(r'$1/\sqrt{U_0}$ ' + f'vs $D_M$ ({size_name})')
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#ax.scatter(voltages_inv_sqrt, diameter_measured[size], label='Data')
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ax.errorbar(voltages_inv_sqrt, diameter_measured[size], fmt='o', yerr=diameter_measured_error, capsize=5)
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# Trendlines
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line = np.polynomial.Polynomial.fit(voltages_inv_sqrt, diameter_measured[size], deg=1)
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ax.plot(voltages_inv_sqrt, line(voltages_inv_sqrt), label='Trendline', linestyle='--', color='purple')
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ax.legend()
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ax=axs[size][1]
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ax.set_xlabel(r'$1/\sqrt{U_0}$')
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ax.set_ylabel(f'$D_E$ ({size_name}) (meters)')
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ax.set_title(r'$1/\sqrt{U_0}$ ' + f'vs $D_E$ ({size_name})')
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#ax.scatter(voltages_inv_sqrt, diameter_measured[size], label='Data')
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ax.errorbar(voltages_inv_sqrt, diameter_actual[size], fmt='o', yerr=diameter_actual_error, capsize=5)
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# Trendlines
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line = np.polynomial.Polynomial.fit(voltages_inv_sqrt, diameter_actual[size], deg=1)
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ax.plot(voltages_inv_sqrt, line(voltages_inv_sqrt), label='Trendline', linestyle='--', color='purple')
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ax.legend()
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plt.show() |