Problem about electric resistance

In summary, the presence of electrical resistance in a circuit causes the charge carriers to flow with a constant speed, despite the presence of a power source that would normally cause acceleration. This is due to the quantum mechanical nature of electrical conduction, which cannot be fully explained by classical physics. The Drude model, which assumes the electrons to behave like small "balls," is incorrect and a full quantum mechanical description is needed to understand the mechanism of electrical conduction.
  • #1
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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  • #2
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!
 
  • #3
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.
 

What is electric resistance?

Electric resistance is the measure of how difficult it is for an electric current to flow through a material. It is measured in ohms (Ω) and is represented by the symbol R.

What factors affect electric resistance?

The factors that affect electric resistance include the material of the conductor, its length and cross-sectional area, and the temperature of the conductor. The resistance increases with the increase in length and decreases with the increase in cross-sectional area of the conductor. The resistance of most materials also increases with an increase in temperature.

How is electric resistance calculated?

The electric resistance can be calculated using Ohm's Law, which states that the resistance is equal to the voltage divided by the current (R=V/I). It can also be calculated using the formula R=ρL/A, where ρ is the resistivity of the material, L is the length of the conductor, and A is its cross-sectional area.

What are some common applications of electric resistance?

Electric resistance is a fundamental concept in electricity and is used in various applications. Some common applications include heating elements in appliances, fuses in electrical circuits, and resistors in electronic devices.

How does electric resistance differ from electrical conductivity?

Electric resistance and electrical conductivity are two properties that are inversely related. While resistance measures the difficulty of an electric current to flow through a material, conductivity measures its ease. Materials with high resistance have low conductivity and vice versa. Additionally, resistance is measured in ohms, while conductivity is measured in siemens (S).

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