Understanding Nodal and Mesh Analysis

[byrner42]

Hi guys,

I've referenced this forum many times so now its time to join!

My problem, I'm having trouble understanding Nodal and Mesh analysis (and when to use each one, and why), especially when inductors and capacitors are present.

For example here is a question that was proposed to me last semester in collage and I can't for the life of me find my previous solution and my head is wrecked!

Any help is greatly appreciated!

(Note if this is in wrong section, apologies, this is my first post =P)

 

[KingNothing]

You can actually use nodal or mesh analysis for any problem. They are interchangeable. There may be cases where it's easier to use one or the other, based on the number of loops and nodes.

For the problem you posted, you can actually model inductors and capacitors as frequency-dependent resistances. Do you remember how to do that?

 

[byrner42]

KingNothing,

Yes I understand what you are talking about, but I'm not sure if I am able to do that mathematically.

Here is my attempt, and problem so far!

 

[byrner42]

I have made no progress yet =P
Anyone out there have any ideas?

 

[jegues]

I'm having trouble understanding Nodal and Mesh analysis (and when to use each one, and why), especially when inductors and capacitors are present.

If you are trying to decide whether or not to apply Nodal or Mesh analysis, simply count the number of independent nodes/loops in the circuit. Also, take note of how many voltage/current sources there are as this may further simplify the nodal/mesh analysis.

With this you should be able to deduce which method will be the most efficient.

I have made no progress yet =P
Anyone out there have any ideas?

As KingNothing has already suggested,

you can actually model inductors and capacitors as frequency-dependent resistances.

Use impedances! Make a parallel combination of the impedances of the capacitor and the resistor, follow this up with a voltage divider and that should be enough to get the job done.