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Bling Fizikst
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- 13
- Homework Statement
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- Relevant Equations
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Let's say the elements connected in parallel have voltage drop of
Ok , i made these cases . letBvU said:Hi,
View attachment 351797
So initially theare all 1 , right ?
Instead of 'a ton of cases': at whatdoes an jump to 2 , and which one/ones is/are that ?
What isBling Fizikst said:Ok , i made these cases . let
Ah, atBling Fizikst said:For
For
Don't understand. You had something different aroundBling Fizikst said:For
and, directly preceding problem 23:fact 9: If there is more than one stable solution then the question of which solution is actually realized is resolved based on the history (e.g. if the voltage applied to the circuit has been increased or decreased) because internally, nonlinear elements obey inertia (for instance, the density of charge carriers can change fast, but not instantaneously) and it will not jump from one equilibrium state to another without a good reason(such as a loss of stability or disappearance of the current solution branch).
The phenomenon when the system state depends on its history is called hysteresis. Hysteresis will typically appear if the
system can have more than one internal states; a simple example is provided by the following problem.
( I don't see any instability. )Bling Fizikst said:Ok , i made these cases . let
For, we can conclude that the corresponding and
Solving forgives : and .
Hence ,
Now , ifthen , and if then .
Similarly , i did the calculations for the other three cases (I got a contradiction for, so excluded that case) :
For
For
For
For
For
For
Not sure what went wrong
You are quite right and I made a mess by mixing upSammyS said:I don't see any instability
Estonian Olympiad in Physics CircuitsBvU said:(Question: anyone know what EstOPhC stands for?)