I read that Independent sources such as ideal voltage source and ideal current source are those which does not depend on any other element in the network.But i do not understand how super position theorem is used only with independent sources,i see that registers are connected in that network then how it is independent sources?Please clear my doubt.
I would interprete an ideal voltage/current source as one without internal resistance, not temperature or load dependency etc. So independent from external or other parameter. A 100% stable voltage or current.
I read that Independent sources such as ideal voltage source and ideal current source are those which does not depend on any other element in the network.But i do not understand how super position theorem is used only with independent sources,i see that registers are connected in that network then how it is independent sources?Please clear my doubt.
In case the input-output transfer (gain of the dependent source) of the voltage or current source depends on some control voltage or current within the network the voltage-current relations are not linear anymore. That means the precondition for the superposition theorem (linearity) is not fulfilled.
I read that Independent sources such as ideal voltage source and ideal current source are those which does not depend on any other element in the network.But i do not understand how super position theorem is used only with independent sources,i see that registers are connected in that network then how it is independent sources?Please clear my doubt. .
You wrote "registers". Do you really mean resistors? What do they have to do with your questions? Circuits containing dependent sources are still linear circuits. The reason why the superposition method does not work too well for dependent sources is that when you set the other sources to zero, the dependent sources do not activate. Now the General Immittance Theorem (GIT) works even when dependent sources are present.
Hi Ratch, that means: If the source is linear the circuit remains linear, right?
I think, everybody will agree. (Isn't this trivial?).
But what about dependent sources with properties as mentioned in my reply #3 ?
Regards
Hi Ratch, that means: If the source is linear the circuit remains linear, right?
I think, everybody will agree. (Isn't this trivial?).
But what about dependent sources with properties as mentioned in my reply #3 ?
Regards
If a circuit consists of several dependent voltages such V = K*I, where K and I are linear functions, then the circuit will be linear provided the circuit elements (RLC) are linear.
LvW,
If a circuit consists of several dependent voltages such V = K*I, where K and I are linear functions, then the circuit will be linear provided the circuit elements (RLC) are linear.
Ratch
Hi Ratch, I am sure that nobody will argue against it. If all circuit elements are linear - the whole circuit will be linear as well.
However, I am afraid, that you did overlook my advice to read again my posting#3.
In this reply I have mentioned dependent sources with input-output transfer functions (gain of the dependent source) that are controlled by a voltage or current within the network. I repeat: The transfer function is not a constant but depends on a network parameter.
I hope you can agree that in this case there are non-linearities within the network prohibiting the application of the super-position theorem (see the original question).
Regards
LvW
LvW,
I did look over your post and I thought I answered it. Apparently I just don't "get it". Perhaps your could illustrate with a simple example.
Ratch