Superposition, Moving Around CKT Elements

[eatsleep]

2. V=IR, Voltage division, KCL, KVL
3. When I short out the dependent current source by replacing it with an open, can I switch the location of the independent source and the 20 ohm resistor so I can do a voltage division to find the voltage across the 20ohm resistor which is then equal to Vo because they are in parallel?

 

[The Electrician]

The conventional wisdom is that you can't deactivate dependent sources when doing superposition. See this for more info:

http://users.ece.gatech.edu/mleach/papers/superpos.pdf

But, if you did short the dependent current source in your circuit, the 20 ohm resistor would also be shorted, wouldn't it? So your voltage divider wouldn't have any output since one leg of it would be zero ohms.

 

[NascentOxygen]

When I short out the dependent current source by replacing it with an open,

"short" ≠ "open"

I'd retain the dependent current source where it is. Find the contribution of the voltage source to Vo. Then find the contribution of the current source to Vo.

 

[rude man]

Solve the equations twice, once with the 3A source removed and once again with the 15V source set to zero volts (a wire in other words).

In each case the dependent current source 2Ix must remain in place.

 

[rezeew]

I would like to clarify that superposition, moving around circuit elements, and using equations such as V=IR, voltage division, KCL, and KVL are all fundamental principles in circuit analysis. These principles allow us to understand and predict the behavior of complex electrical circuits.

Regarding the second part of your question, yes, it is possible to switch the location of the independent source and the 20 ohm resistor in order to perform a voltage division and find the voltage across the 20 ohm resistor. This is because in a parallel circuit, the voltage across each component is the same. However, it is important to note that this calculation assumes ideal conditions and may not always hold true in real-world scenarios. It is always best to verify your results through simulation or experimentation.