# Circuit Calculation - Mesh Analysis

• Engineering
• brighton53
In summary, the conversation discusses finding I(t) and V2(t) using mesh analysis and impedance calculations. It is noted that C1 can be ignored due to its placement and the nature of ideal voltage supplies. The problem can be simplified by combining certain components into net impedances and solving as a voltage divider.
brighton53

## Homework Statement

Hi, I'm trying to find what I(t) and V2(t).
https://dl.dropbox.com/u/672601023

## The Attempt at a Solution

- Firstly I'm changing to impedances and then predefining a few new variables
- zc1, zr1, zc2, zr2 and zc3
- then I'm going to do mesh analysis
https://dl.dropbox.com/u/67260102/as.png

and then the current I'm trying to work out should be the answer of I2.

and the voltage I'm trying to also workout will do Zc3 * I3.

Is all of this correct?

Last edited by a moderator:
Hi brighton53, Welcome to Physics Forums.

Sure, you can solve the problem that way if V is a fixed frequency sinusoidal source. It's a bit of overkill, but will get the job done.

Note that C1 is directly across the voltage supply, and that ideal voltage supplies are immune to loading. So if you're looking for I(t) and V2(t) you can ignore C1 entirely. Then you could combine R1 with C2, and R2 with C3 into two net impedances and solve as a voltage divider...

## 1. What is mesh analysis in circuit calculation?

Mesh analysis is a method used to analyze electrical circuits to determine the voltage and current in each individual loop or "mesh". It is based on Kirchhoff's voltage law and Ohm's law.

## 2. How is mesh analysis different from other circuit analysis methods?

Mesh analysis is different from other methods, such as nodal analysis, because it focuses on individual loops in the circuit rather than individual nodes. This allows for easier analysis of complex circuits with multiple loops.

## 3. What are the steps to perform mesh analysis?

The steps to perform mesh analysis are as follows:
1. Identify all the individual meshes in the circuit.
2. Assign a direction and label to each mesh.
3. Apply Kirchhoff's voltage law to each mesh, setting up a system of equations.
4. Solve the equations simultaneously using algebra or a matrix method.
5. Use Ohm's law to calculate the current and voltage in each mesh.
6. Check your solution by verifying that all the currents and voltages satisfy the original equations.

## 4. Can mesh analysis be used for circuits with dependent sources?

Yes, mesh analysis can be used for circuits with dependent sources, as long as the dependent sources are included in the equations for Kirchhoff's voltage law. The presence of dependent sources may result in additional equations and variables to solve for.

## 5. Are there any limitations to using mesh analysis?

Mesh analysis may become more complex and time-consuming for circuits with a large number of meshes, as it involves setting up and solving a system of equations. It is also not suitable for circuits with parallel current sources. In addition, mesh analysis assumes that all the components in the circuit are linear.

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