Archived Problem with non linear increase in voltage/amperage

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When testing thermoelectric generators, an observed phenomenon showed that increasing the number of generators in a circuit led to a slower increase in voltage while amperage increased more rapidly. This inverse relationship suggests that as more generators are added, their internal resistance impacts the overall voltage output. The increase in current can be attributed to the resistive load, which allows for higher current flow despite the voltage drop. The discussion highlights the complexity of generator behavior under varying loads and the effects of internal resistance. Understanding these dynamics is crucial for optimizing generator efficiency in practical applications.
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Homework Statement


Please try to keep this simple, I'm only fourteen. I was testing thermometric generators and the voltage and amperage generated at with increased efficiency. I noticed that when I increase the number of generators per circuit, the voltage increase slowed and the amperage increase accelerated. The two were inversely proportional to each other. Does anyone know why the voltage increase slowed down?

I was using .22 gauge iron wire and .22 gauge constantan wire, at a temperature of 353 K.

I have linked an image to the graphs from the experiment.

http://i.imgur.com/4sPIjsG.png


Homework Equations





The Attempt at a Solution

 
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samsanof said:

Homework Statement


I noticed that when I increase the number of generators per circuit, the voltage increase slowed and the amperage increase accelerated. The two were inversely proportional to each other. Does anyone know why the voltage increase slowed down?

Adding a generator increases the output voltage and if the load is resistive that increases the current. If the generators have significant internal resistance then the increasing current reduces the voltage all of them deliver not just the new one. That could explain why the voltage increase slows down.

However it doesn't explain why the current increase accelerated. It only explains why the current increases.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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