华科电磁场m a t l a b仿真作
业
-标准化文件发布号：（9456-EUATWK-MWUB-WUNN-INNUL-DDQTY-KII
电磁场作业
电气1202 XXX U201200000一．作业一
1.程序框图
2.程序
clear;
col = 61; %第一行点数
row = col; %行数
span = 0.3/(col-1); %步长
End = ones(1,col)*col; %每一行的终止点
Start = ones(1,col); %每一行的起始点
A = zeros(row,col); %A矩正存储每点电势
for i = (col-1)/3+1:(col-1)*2/3+1
for j = (col-1)/3+1:(col-1)*2/3+1
A(i,j) =100;
end
end %初始化电势完毕
temp = A;
for n= 1:500 %迭代次数
for i = 2:row-1
if ( i<((col-1)/3+1)||i>( (col-1)*2/3+1 ) )
for j = Start(i)+1:End(i)-1
temp(i,j)=(A(i-1,j) +A(i+1,j) +A(i,j-1) +A(i,j+1))/4;
end
else
for j = 2:(col-1)/3
temp(i,j)=(A(i-1,j) +A(i+1,j) +A(i,j-1) +A(i,j+1))/4;
end
for j = 2*(col-1)/3+2:col-1
temp(i,j)=(A(i-1,j) +A(i+1,j) +A(i,j-1) +A(i,j+1))/4;
end
end
A = temp;
end
end
X = row:-1:1;
Y = col:-1:1;
[X,Y] = meshgrid(X,Y);
figure(1);
surf(rot90(A,2));
figure(2);
contour(rot90(A,2));
hold on;
[Gx,Gy] = gradient(A,1,1);
quiver(Gx,Gy);
3.计算机绘图
二．作业二
1.程序框图
2.程序100V
0V
clear;
col=101;
row=101;
A=zeros(row,col);
for i=11:101
A(i,11)=100;
end
for j=11:101
A(11,j)=100;
end
for i=2:10
A(i,col)=10*i-10;
end
for j=2:10
A(row,j)=10*j-10;
end
A1=A;
x=1;t=0;
while x>0.1
x=0;
for i=2:100
for j=2:100
if (i>1&&i<11)||(j>1&&j<11)
A1(i,j)=(A(i,j-1)+A(i,j+1)+A(i-1,j)+A(i+1,j))/4; t=abs(A(i,j)-A1(i,j));
if (t>x)
x=t;
end
end
end
end
A=A1;
end
X = 1:1:row;
Y = 1:1:col;
[X,Y] = meshgrid(X,Y);
figure(1);
surf(rot90(A,4));
figure(2);
contour(rot90(A,4));
hold on;
[Gx,Gy] = gradient(A,1,1);
quiver(Gx,Gy);
3.计算机绘图
三．作业三
1.程序框图
2.程序
clear;
N = 41; %第一行点数
h = 0.2/(N-1); %步长
row = (N+1)/2; %行数
E = N:-1:N-row+1;%每一行的终止点
S = 1:1:N-row+1;%每一行的起始点
A = zeros(row,N); %A矩阵存储每点电势
A(1,:)=ones(1,E(1))*100; %初始化电势
for i = 1:row
A(i,S(i)) = 0;
A(i,E(i)) = 0;
end %初始化电势完毕
temp = A;
for n= 1:600 %迭代次数
for i = 2:row
for j = S(i):E(i)
if j ==S(i) || j==E(i)
temp(i,j)=0;
else
temp(i,j)=(3*A(i-1,j) +3*A(i+1,j) +A(i,j-1) +A(i,j+1))/8;
end
end
end
A = temp;
end
X = row:-1:1;
Y = N:-1:1;
[X,Y] = meshgrid(X,Y);
figure(1);
surf(rot90(A,2));
figure(2);
contour(rot90(A,2));
3.计算机绘图。