Problem about electric resistance

AI Thread Summary
Electrical resistance plays a crucial role in maintaining a constant current in a circuit, despite the presence of an electric field generated by a power source. When a circuit is closed, charge carriers experience a net force, but they do not accelerate indefinitely due to resistance, which limits their speed. Even with a stronger power supply, while the charge speed may increase, the presence of resistance ensures that the current remains constant. The Drude model, which simplifies electron behavior to classical mechanics, fails to accurately describe this phenomenon, necessitating a quantum mechanical approach for a proper understanding of electrical conduction. Ultimately, resistance is essential in regulating the flow of current in electrical circuits.
kelvin490
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Why electrical resistance can make the current in circuit be constant? When circuit is closed, electric field is built up by the power source (e.g.battery), therefore there should be net force acting on charge carriers and they should accelerate. However, in real case we know that they flow with constant speed. Is that the presence of resistance make them flow with constant speed? What 's the mechanism?
 
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If we change the power supply (say battery) to a more powerful one. The electric field is stronger in the circuit. But what is interesting is that, though the charge speed is larger, constant speed is maintained no matter how small the resistance is. A tiny resistance can prevent the charge from accelerating!
 
kelvin490 said:
However, in real case we know that they flow with constant speed. Is that the presence of resistance make them flow with constant speed? What 's the mechanism?

Well, it sounds like you are thinking about this in terms of what is known as the Drude model, see
http://en.wikipedia.org/wiki/Drude_model

The problem is that the Drude model is wrong in the sense that it is semi-classical and basically assumes the electrons to be small "balls" bouncing around which is simply incorrect (which is why some of the predictions of the Drude model are wrong).

In order to describe electrical conduction properly you really need a full quantum mechanical description, there is no way to understand it in terms of classical physics.
 
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