Bridge/Ladder Circuit and Node Voltage Method

[Marcin H]

Homework Statement

Homework Equations

Node Voltage Method
V=IR

The Attempt at a Solution

So I have never worked with a bridge/ladder circuit before and I am not sure if I am doing it correctly. My professor never gave us an example of a bridge/ladder so I'm kinda winging it. Anyway can I apply node voltage method to this circuit just like any other? I tried doing that, but I got some weird answers, so I don't know if it is correct. Did I make some small mistake in my equations? Or are my equations completely wrong?

 

[Hesch]

I tried doing that, but I got some weird answers, so I don't know if it is correct. Did I make some small mistake in my equations? Or are my equations completely wrong?

Just check the result by means of Ohm's law:

Currents toward V₁ =

( 2V - 28/19 V ) / 2kΩ
- 28/19 V / 8kΩ
- 6/19 V / 4 kΩ = ( must be zero )

Same check with V₂

 

[Marcin H]

Just check the result by means of Ohm's law:

Currents toward V₁ =

( 2V - 28/19 V ) / 2kΩ
- 28/19 V / 8kΩ
- 6/19 V / 4 kΩ = ( must be zero )

Same check with V₂

It works with Ohms law, but does that mean that it's correct? It feels like this way of checking will always give you the right answer? So just because they add up to 0 doesn't make them the correct values is what I am getting at. Or is this not right?

 

[The Electrician]

A good tactic I use is to check with the Kirchoff's law that you didn't use for the solution. If you use KCL to solve it, use KVL to check it.

 

[Hesch]

So just because they add up to 0 doesn't make them the correct values is what I am getting at. Or is this not right?

Show me an incorrect result that will be accepted as correct by means of the "Ohm's law test".

Your circuit is not a bistable or "multistable" circuit.