写一份计算密立根油滴实验静态平衡法的代码C＋＋

在编写C++代码以模拟密立根油滴实验中静态平衡法时，我们需要考虑电场强度、油滴质量、重力加速度以及油滴所带电荷等因素。以下是一个简单的示例代码，用于计算给定条件下的油滴静止位置：

#include <iostream>
#include <cmath>

const double G = 9.81; // 重力加速度 (m/s^2)
const double q_e = 1.602e-19; // 电子电荷量 (C)
const double m_oil = 1.75e-15; // 油滴平均质量 (kg)

double electric_field(double voltage) {
    const double k = 8.988 * pow(10, 9); // Coulomb's constant (Nm^2/C^2)
    return k * voltage / (4 * M_PI * pow(10, -9)); // 计算电场强度 (N/C)
}

double force_on_droplet(double charge, double field) {
    return charge * field;
}

double find_equilibrium_voltage(double mass) {
    double min_voltage = 0.0;
    double max_voltage = 10000.0; // 假设最大电压范围

    while (true) {
        double mid_voltage = (min_voltage + max_voltage) / 2.0;
        double field = electric_field(mid_voltage);
        double net_force = force_on_droplet(q_e, field) - G * mass;

        if (net_force == 0) {
            break; // 找到平衡点
        } else if (net_force > 0) {
            min_voltage = mid_voltage;
        } else { // net_force < 0
            max_voltage = mid_voltage;
        }
    }

    return mid_voltage; // 返回平衡电压
}

int main() {
    double oil_droplet_mass = m_oil; // 输入油滴质量
    double equilibrium_voltage = find_equilibrium_voltage(oil_droplet_mass);

    std::cout << "For an oil droplet with mass " << oil_droplet_mass << " kg, the static equilibrium voltage is: "
              << equilibrium_voltage << " V" << std::endl;

    return 0;
}

这个代码首先定义了常量如重力加速度和电荷等，然后通过二分查找的方式找到电场强度使得油滴受到的电场力等于重力，达到静止状态。