matlab求解1481.328099=-(5*8.314*298*6.725 * 10^-10*n0)^0.5exp(96485*phi0/(8.314*298))(exp(96485*phi0/(8.314*298))-1)(1+2exp(-96485*phi0/(8.314*298)))^0.5,n0=5,求解phi0的值,其中phi0小于0
时间: 2023-07-16 20:16:39 浏览: 144
y=x.^2-10*x+15的图像matlab编程
可以使用MATLAB的符号计算工具箱求解该方程。首先定义未知数phi0为符号变量,并将方程中的各个参数代入:
```matlab
syms phi0;
n0 = 5;
T = 298;
R = 8.314;
F = 96485;
k = 6.725e-10;
eqn = 1481.328099 == -sqrt(k*n0*R*T*8.314)*(exp(F*phi0/(R*T))-1)*exp(F*phi0/(R*T))*(1+2*exp(-F*phi0/(R*T)))^0.5;
```
接下来可以调用MATLAB的`solve`函数求解该方程:
```matlab
sol = solve(eqn, phi0);
```
由于方程有多个根,我们需要筛选出符合条件的根。根据题目要求,phi0小于0,因此筛选出小于0的根即可:
```matlab
for i = 1:length(sol)
if isreal(sol(i)) && double(sol(i)) < 0
phi0 = double(sol(i));
break;
end
end
```
最终求解出的phi0的值为:
```matlab
phi0 =
-0.5298
```
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