Engineering Circuit Calculation - Mesh Analysis

AI Thread Summary
The discussion focuses on calculating I(t) and V2(t) using mesh analysis in a circuit. The user plans to convert components to impedances and define new variables before applying mesh analysis. A response suggests that while the approach is valid for a fixed frequency sinusoidal source, it may be unnecessarily complex. It highlights that since C1 is across the voltage supply, it can be ignored, allowing for a simpler calculation by combining resistances and capacitors into net impedances. This method can streamline the solution process for finding the desired current and voltage.
brighton53
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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?
 
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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...
 
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