Learn Mesh Analysis: Find Current in RL Circuits

AI Thread Summary
Mesh analysis is a method used to find currents in RL circuits by applying Kirchhoff's voltage law to loops in the circuit. To begin, identify the loops and assign a direction (clockwise or counterclockwise) for the current. Formulate equations based on the voltage sources and impedances in each mesh, resulting in a system of equations. The impedance matrix is constructed from the sum of impedances within each mesh and the common impedances between meshes. This systematic approach allows for the calculation of currents in multiple meshes effectively.
tnecniv
Messages
15
Reaction score
0
[PLAIN]http://picasaweb.google.com/lh/photo/F1hFT0SaSpFdLqSvFA-BHA?authkey=Gv1sRgCMGC37jJtMLiXQ&feat=directlink

Image : [PLAIN]http://picasaweb.google.com/lh/photo/F1hFT0SaSpFdLqSvFA-BHA?authkey=Gv1sRgCMGC37jJtMLiXQ&feat=directlink

How do i use mesh analysis to find the current of RL?
can someone teach me how i should indicate the loops and +/- on the circuit?
 
Last edited by a moderator:
Physics news on Phys.org
tnecniv said:
[PLAIN]http://picasaweb.google.com/lh/photo/F1hFT0SaSpFdLqSvFA-BHA?authkey=Gv1sRgCMGC37jJtMLiXQ&feat=directlink

Image : [PLAIN]http://picasaweb.google.com/lh/photo/F1hFT0SaSpFdLqSvFA-BHA?authkey=Gv1sRgCMGC37jJtMLiXQ&feat=directlink

How do i use mesh analysis to find the current of RL?
can someone teach me how i should indicate the loops and +/- on the circuit?

Please show us your attempt at a solution. We do not do your homework for you here.

You can also search at wikipedia.org for basic tutorial info on mesh analysis.
 
Last edited by a moderator:
you can choose any sense of the loops(clockwise,anticlockwise,or both).it doesn't affect the final result..but for each sense of the loop in a mesh,u have to form the kirchhoffs equation according to the loop's sense you put...
u finally get a system of equations with several unkowns...
take this easy operation:
suppose u have three meshes:
put all the current loops in a clockwise direction (I1,I2,I3 respectively)
consider the 3 matrices (v),(z)and(I)
and (v)=(z)(I) , (I)=(I1,I2,I3) , (v)=(sum of "voltage sources" according to sense of current in the first mesh, similarly for the 2nd mesh,similarly for the 3rd mesh)

for (z): z11: sum of empidences of mesh 1
z22:sum of empidences of mesh 2
z33:sum of empidences of mesh 3
z12:minus (sum of commom empidences between meshes 1 and 2)
z13:minus(sum of commom empidences between meshes 1 and 3)
z23:minus(sum of common empidences between meshes 2 and 3)

z12=z21, z31=z13, z23=z32;
so u abtain the system and u get I1,I2,I3...

and so, u can perform this operation for any number of meshes (sense of loops are clockwise! here)
thank you
 

Similar threads

Replies
3
Views
2K
Replies
4
Views
7K
Replies
1
Views
2K
Replies
28
Views
4K
Replies
6
Views
2K
Replies
1
Views
5K
Back
Top