How to determine the magnetic field in a round circuit using biot-savart law

Hi everybody, I am doing a project in MATLAB. My project is: using the Biot-Savart law, determine the magnetic field in a round circuit. Here is the equation:

The requirements are:

1. Enter the radius of the circle (the round circuit)
2. Divide the circle into many tiny straight circuits, and add all the magnetic fields of those circuit (with illustration).
3. Draw the graph to illustrate the magnetic lines.

Please give me at least some clue to carry out this project. Thank you so much.

My English is not good, if there are any mistakes, please forgive me. Thanks.

[Youssef Khmou]

i can help with this project, you just give the numerical values of the current I and the absolute permeability .

[Nguyen Trong Nhan]

Ai hỏi câu này vậy ta ? :)

Answer 1

[Youssef Khmou]

The magnetic field B(r) is perpendicular to the the circle, hence it depends on the altitude z, but suppose that we want to evaluate B at the center of circle , ie z=0.

You can use this part as a starting point :

 % R=input('  Radius of the circuit [m]:');
r=0.1:0.01:2; %  radius
u0=4*pi*1e-7; %  Hm^-1.
I=1; %  current 1A
%=linspace(0,1e-1,100);
B=(u0/2*pi)*((I*pi)./r);
figure,plot(r,B), xlabel('radius'),ylabel('Magnetic flux');grid on;

[Nghia]

Thank you so much. If it's possible, can you give me the rest of this project? Actually my programing ability is not good and this is the first time I work with Matlab, so this project is hard for me. The current I is not written in the thread, so let's set it as 1A.

Answer 2

[Image Analyst]

Some clues. For 1, try using inputdlg(). For 3, use plot(). And the FAQ talks about circles: http://matlab.wikia.com/wiki/FAQ#How_do_I_create_a_circle.3F

Answer 3

[GONTI NIKITHA]

% R=input(' Radius of the circuit [m]:');

r=0.1:0.01:2; % radius

u0=4*pi*1e-7; % Hm^-1.

I=1; % current 1A

%=linspace(0,1e-1,100);

B=(u0/2*pi)*((I*pi)./r);

figure,plot(r,B), xlabel('radius'),ylabel('Magnetic flux');grid on;