Mesh Analysis for Circuit: Finding ix with Supermesh

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In summary, when finding ix in the given circuit, supermesh is not necessary. Instead, you would use three loop equations with three unknowns. This is because mesh analysis deals with voltages and the dependent voltage source in the circuit relies on a current. Supermesh is typically only used when working around a current source. In the last mesh, i3 and ix are separate currents, but ix can be written in terms of the mesh currents by summing the currents entering and exiting the node.
  • #1
J.live
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Homework Statement



About this circuit:

http://oi54.tinypic.com/eqwktd.jpg

If I were to find ix. Would I be using supermesh?


Homework Equations





The Attempt at a Solution

 
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  • #2
No. You would just write three loop equations with three unknowns. Mesh analysis wants voltages, and that is a dependent voltage source that relies on a current. You traditionally need to use supermesh when you need to work around a current source (either dependent or independent).
 
  • #3
In the last mesh, aren't i3 and ix separate currents ? Or ix= i3?
 
  • #4
J.live said:
In the last mesh, aren't i3 and ix separate currents ? Or ix= i3?

They are different currents, but I_x can be written in terms of your mesh currents. Just sum the currents entering and exiting that node:

[tex]I_2 -I_3 - I_X = 0 \to I_X = I_2-I_3[/tex]
 
  • #5


Yes, in this circuit, you would need to use supermesh to find ix. Supermesh is a technique used in circuit analysis to simplify the process of solving for currents and voltages in a circuit with one or more current sources. It involves creating a "super" mesh by combining two or more individual meshes in the circuit. This allows for simplification of the equations and makes it easier to solve for the desired currents or voltages. In this case, using supermesh would allow you to solve for ix without having to solve for all the individual currents in the circuit.
 

FAQ: Mesh Analysis for Circuit: Finding ix with Supermesh

What is Mesh Analysis and why is it used in circuit analysis?

Mesh Analysis is a method used to analyze electrical circuits, specifically those with multiple loops, by applying Kirchhoff's Voltage Law (KVL) to each loop. It is used because it simplifies the process of finding current and voltage values in a circuit by reducing the number of equations needed.

What is a Supermesh and how is it different from a regular mesh?

A Supermesh is created when two meshes in a circuit share a current source or voltage source. This results in a larger, combined mesh that can be treated as a single entity in the mesh analysis. It is different from a regular mesh because it allows for the simplification of the circuit, making it easier to solve.

How do you find ix using Supermesh in a circuit?

To find ix using Supermesh, you first need to identify the two meshes that form the Supermesh. Then, you can apply KVL to the Supermesh, taking into account the shared current source or voltage source. This will result in an equation with only one unknown, which can then be solved to find the value of ix.

Can you use Supermesh for any circuit with multiple loops?

No, Supermesh can only be used in circuits where two meshes share a current source or voltage source. If this condition is not met, then Supermesh cannot be applied and regular mesh analysis must be used.

Are there any limitations to using Supermesh in circuit analysis?

Yes, there are a few limitations to using Supermesh. It can only be applied to circuits with a shared current source or voltage source, and it cannot be used for circuits with dependent sources. Additionally, care must be taken when setting up the equations for the Supermesh as errors can arise if the shared source is not properly accounted for.

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