How to convert the circuit of figure1 to that of figure2?

[xmli1976]

How to convert the circuit of figure1 to that of figure2?
Which theories are used to convert it?

 

[jeffttan]

i think the theory used here is that parallel identical voltage sources produce the same output voltage each source produce.

 

[xmli1976]

Where can I find the theory ?
Can I find it in common circuit analysis book?

 

[kienhuy]

I don't think there is any fancy conversion. The circuit is simply redrawn. In Figure 1, the top of R1 and C1 are connected together at the same node. In order to maintain the same potential at that node when that node is split up, an identical voltage source, Vi is used at the corresponding terminal of R1 and C1.

 

[xmli1976]

How to proof the two circuits are equivalent?

 

[jeffttan]

you can try placing a short on the two + terminals of the sources. you will see that the two circuits are eqivalent.

try examining both terminals of each component, find to which component they are connected to.

 

[xmli1976]

Re: How to convert the circuit of figure1 to that of figure2

Thank,I'v calculate the VAR of Vo,the two circuit's Vo is the same.

i think the theory used here is that parallel identical voltage sources produce the same output voltage each source produce.

Is there a theory that can be directly apply?

you can try placing a short on the two + terminals of the sources. you will see that the two circuits are eqivalent.

try examining both terminals of each component, find to which component they are connected to.

Without the voltage sources,the two are exactly the same.

 

[XNOX_Rambo]

Re: How to convert the circuit of figure1 to that of figure2

When performing network reduction for a Thévenin or Norton model, note that:
- nodes with zero voltage difference may be short-circuited with no effect on the network current distribution,
- branches carrying zero current may be open-circuited with no effect on the network voltage distribution.

Quote from **broken link removed**

 

[xmli1976]

I see.But can adding a voltage source produce more current?

 

[XNOX_Rambo]

Re: How to convert the circuit of figure1 to that of figure2

In textbooks on electrical circuits the voltage sources are always regarded as
ideal - i.e. their internal resistance is 0 Ohms and can therefore source an infinite
current, if short-circuited.
Similarly ideal current sources have an infinite internal resistance.
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/visource.html

In real life - if you add a voltage source - you increase the current capacity - the
load current is not affected.

 

[checkmate]

Re: How to convert the circuit of figure1 to that of figure2

A voltage source merely provides voltage. How much current it produces depends on the loading.