[Electrical Engineering]Finding current with mesh analysis(ac)

In summary, the question is asking for the io value using mesh analysis, but also mentions using superposition as an alternative method. The answer using superposition is provided, but the person is unsure how to use mesh analysis for a circuit with different frequency sources. It is not possible to use mesh analysis directly because the impedances of the reactive elements are different for each frequency, causing the impedance matrices to differ. The assignment may require an explanation for why it is impossible to solve the problem using mesh analysis.
  • #1
equalP
21
0

Homework Statement


hihi_zps4f36d16a.png

The question asks me to find io by using mesh analysis.

Homework Equations


KCL

The Attempt at a Solution


In fact, the question also asks me to find it by superposition and I found the answer should be:
i0=0.1+0.218 cos⁡(2000t+134°)-1.18 sin⁡(4000t+7.4°)

But I don't know how to use mesh analysis to solve the circuit with independent sources of different frequency.

Thanks for reading my post.
 
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  • #2
equalP said:

Homework Statement


hihi_zps4f36d16a.png

The question asks me to find io by using mesh analysis.

Homework Equations


KCL


The Attempt at a Solution


In fact, the question also asks me to find it by superposition and I found the answer should be:
i0=0.1+0.218 cos⁡(2000t+134°)-1.18 sin⁡(4000t+7.4°)

But I don't know how to use mesh analysis to solve the circuit with independent sources of different frequency.

Thanks for reading my post.

Hi equalP; Welcome to Physics Forums.

The idea behind using superposition is that you can solve for the effect of each source independently (by suppressing the others), then sum the results.
 
  • #3
gneill said:
Hi equalP; Welcome to Physics Forums.

The idea behind using superposition is that you can solve for the effect of each source independently (by suppressing the others), then sum the results.

Is it possible for me to solve this problem by using mesh analysis directly?
 
  • #4
equalP said:
Is it possible for me to solve this problem by using mesh analysis directly?

No, the impedances of the reactive elements are different for different frequencies. As a result, each source "sees" a different network, which will make the impedance matrices differ.
 
  • #5
gneill said:
No, the impedances of the reactive elements are different for different frequencies. As a result, each source "sees" a different network, which will make the impedance matrices differ.

Thank you. And I think the assignment may want me to write down it is impossible and explain why.
 

FAQ: [Electrical Engineering]Finding current with mesh analysis(ac)

How does mesh analysis work?

Mesh analysis is a method used to calculate current in electrical circuits. It involves breaking down a circuit into individual loops, or meshes, and solving for the current in each loop using Kirchhoff's voltage law and Ohm's law.

When should I use mesh analysis?

Mesh analysis is typically used for circuits with multiple current sources, as it allows for the calculation of individual currents in different parts of the circuit. It is also useful for circuits with multiple parallel branches.

What are the steps to perform mesh analysis?

The steps for performing mesh analysis are as follows:

  1. Identify all the meshes in the circuit.
  2. Choose a direction for the current in each mesh and assign a variable to represent it.
  3. Write Kirchhoff's voltage law equations for each mesh, using the assigned variables and the known values of resistors and voltage sources.
  4. Solve the resulting system of equations to find the values of the current variables.

Can mesh analysis be used for circuits with only resistors?

Yes, mesh analysis can be used for circuits with only resistors, as long as there are multiple current sources present. If there are no current sources, the circuit can be simplified using series and parallel resistor equations.

What are the advantages of using mesh analysis?

The advantages of using mesh analysis include the ability to solve for individual currents in a complex circuit, as well as the ability to handle circuits with multiple current sources. It can also be more efficient than other methods, such as nodal analysis, in certain types of circuits.

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