- #36
The Electrician
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Babadag said:
This is what jishnu did in post #16 and in the left side of the image of post #19
Babadag said:
Thanks allot for the clarification. [emoji4]The Electrician said:OK. Forget what I said in #27. After you did the Y-Δ transformation: https://en.wikipedia.org/wiki/Y-Δ_transform
each capacitor has a value of C/3. But, you didn't get the schematic after the transformation correct. Two of the capacitors are shorted by a wire that was in the pre-transformation topology as shown here. Look carefully and you'll see that there are 4 capacitors of value C/3 in parallel for a final value of (4C)/3
View attachment 227136
The capacitance would simply become equivalent to "C", is that correct...!The Electrician said:For extra credit, consider the addition of one more capacitor to the network like this:
View attachment 227191
Is the equivalent capacitance changed, and if so, what is it?
jishnu said:The capacitance would simply become equivalent to "C", is that correct...!
This is how I got the answer(attached a rough work)The Electrician said:How did you get that? The extra cap makes it difficult to do parallel/series reduction. But nodal analysis is truly general. Any topology can be solved.
The matrix from post #33 only needs a small tweak to represent the extra capacitor.
Here's the result:
View attachment 227194
The equivalent capacitance between A and B is (7 C)/5
This shows the power of nodal analysis.
'jishnu said:This is how I got the answer(attached a rough work)
Can you please provide me resources to know more about formation of the admittance matrix, I couldn't understand much relevant things about its matrix formation from the electronics tutorial link that you have provided. View attachment 227195