Methods / ti-cas.org
Law of the meshs

Law of the nodes / meshs / Kirchoff

From circuits, use of various laws with APPlication EE200.

Author: Olivier Miclo

Public: Students
Concepts: elementary laws.

Material used:
TI-89v2.05 & EE200v1.0

 

1) Recall of the law of the nodes and the law of the meshs.

Here, I1 - I2 - I3 + I4 - I5 = 0

(Law of the nodes)

After having chosen a direction: U2 + U5 - U1 - U3 - U4 = 0

(Law of the meshs)

2) Example with a circuit (use of APPlication EE200)

Activate EE200 via APPS :

     

In the circuit below, calculate I1 and I2.

Press F2 to seize the equations.

The editor of equation is empty, and it is necessary to seize the equations in order to solve our problem.

I2 = I + I1

and

E - R2*I1 - R1*I2 = 0

First equation: Look at the status bar of your TI-89 when you write the equation. EE200 knows that I2 is a current !

For more facility, directly replace I by its value 0.25 A.

The units are available in the toolbar. (and the last unit is copied in the clipboard)

Equation 1...

Equation 2...

We can now solve the equation with F2... #SOLVE.

I1 = 0.16 A, and I2=0.41 A.

By leaving EE200, you will be able to use the variables generated by the software (for example, I1 and I2)

This example is a simple example, and the aim is to show that EE200 is used as easily as the numerical solver integrated into your calculator. The functionalities are numerous.

Olivier Miclo, September 2000