python正弦交流电路向量

要绘制一个正弦交流电路的向量图，需要使用Python中的matplotlib库。下面是一个示例代码，可以画出一个简单的正弦交流电路的向量图。

import numpy as np
import matplotlib.pyplot as plt

# 定义参数
f = 50  # 电源频率为50Hz
V0 = 220  # 电源电压为220V
R = 10  # 电阻为10Ω
L = 0.1  # 电感为0.1H
C = 1e-6  # 电容为1μF

# 计算电感和电容的阻抗
XL = 2 * np.pi * f * L
XC = 1 / (2 * np.pi * f * C)

# 计算电路总阻抗和电路总相位差
Z = np.sqrt(R ** 2 + (XL - XC) ** 2)
theta = np.arctan((XL - XC) / R)

# 计算电路电流和电压
I = V0 / Z
Vr = I * R
VL = I * XL
VC = I * XC

# 绘制向量图
fig, ax = plt.subplots(figsize=(6, 6))

# 电源电压向量
ax.arrow(0, 0, V0, 0, head_width=10, head_length=20, fc='blue', ec='blue')
ax.text(V0 / 2, 10, '$V_0$', fontsize=14)

# 电流向量
ax.arrow(0, 0, I * np.cos(-theta), I * np.sin(-theta),
         head_width=10, head_length=20, fc='red', ec='red')
ax.text(I * np.cos(-theta) / 2, I * np.sin(-theta) / 2, '$I$', fontsize=14)

# 电阻电压向量
ax.arrow(0, 0, Vr * np.cos(theta), Vr * np.sin(theta),
         head_width=10, head_length=20, fc='green', ec='green')
ax.text(Vr * np.cos(theta) / 2, Vr * np.sin(theta) / 2, '$V_R$', fontsize=14)

# 电感电压向量
ax.arrow(0, 0, VL * np.cos(np.pi / 2 - theta), VL * np.sin(np.pi / 2 - theta),
         head_width=10, head_length=20, fc='orange', ec='orange')
ax.text(VL * np.cos(np.pi / 2 - theta) / 2, VL * np.sin(np.pi / 2 - theta) / 2, '$V_L$', fontsize=14)

# 电容电压向量
ax.arrow(0, 0, VC * np.cos(np.pi / 2 + theta), VC * np.sin(np.pi / 2 + theta),
         head_width=10, head_length=20, fc='purple', ec='purple')
ax.text(VC * np.cos(np.pi / 2 + theta) / 2, VC * np.sin(np.pi / 2 + theta) / 2, '$V_C$', fontsize=14)

# 添加网格和标签
ax.grid(True)
ax.set_xlim(-300, 300)
ax.set_ylim(-300, 300)
ax.set_xlabel('Real Axis (V)', fontsize=14)
ax.set_ylabel('Imaginary Axis (V)', fontsize=14)
ax.set_title('Sinusoidal AC Circuit Vector Diagram', fontsize=16)

plt.show()

运行该代码，可以得到如下的图像：