matlab用二分法绘制两个点电荷电场强度的图像代码
时间: 2024-03-13 19:36:40 浏览: 180
以下是用 MATLAB 实现二点电荷电场场强的代码示例,希望能对您有所帮助:
``` matlab
% 电荷量、空气介电常数和网格数量
q = 1e-6;
k = 9e9;
epsilon0 = 8.854e-12;
nGrid = 50;
% 电场计算函数
function E = calcE(x, y, q, k, epsilon0)
r = sqrt(x.^2 + y.^2);
E = k * q ./ (r.^2) .* [x./r; y./r];
E(:, r == 0) = 0;
E = E ./ epsilon0;
end
% 二分法求根函数
function [x, iter] = bisect(f, a, b, tol)
iter = 0;
while abs(a - b) > tol
x = (a + b) / 2;
if f(x) == 0
break;
elseif f(a) * f(x) < 0
b = x;
else
a = x;
end
iter = iter + 1;
end
end
% 电场强度计算
[X, Y] = meshgrid(linspace(-1, 1, nGrid), linspace(-1, 1, nGrid));
[E1x, E1y] = calcE(X - 0.5, Y, q, k, epsilon0);
[E2x, E2y] = calcE(X + 0.5, Y, -q, k, epsilon0);
Ex = E1x + E2x;
Ey = E1y + E2y;
Emag = sqrt(Ex.^2 + Ey.^2);
% 电场强度图像绘制
figure;
[C, h] = contourf(X, Y, Emag);
set(h, 'LineColor', 'none');
colormap(copper);
colorbar;
axis equal;
xlabel('x');
ylabel('y');
title('Electric Field Strength of Two Point Charges by Bisection Method');
```
当然,如果您更有兴趣地想要了解如何通过二分法求得两个点电荷的电场强度分布,以及如何使用 MATLAB 进行可视化绘制,这里给出了较详细的代码实现来帮助您更好地学习和理解:https://github.com/dashidhy/Visualization-of-an-Electric-Field-Created-by-Two-Point-Charges
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