Average Electron Drift Distance with AC Current

In summary, the conversation discusses a metal wire with a high density of free electrons carrying an alternating current. The average electron drift velocity is calculated using the equation J = -eNevd, while the average drift distance is still being determined. The conversation also mentions calculating the average absolute current density, the amount of coulombs moved per second, and the amount of centimeter wire-electrons moved per second.
  • #1
achap6
1
0

Homework Statement


A metal wire with 1023 free electrons per cubic centimeter is carrying 60 Hz alternating current with a maximum current density of 100 amps/cm2.
a) Write an expression for the average electron drift velocity as a function of time (vd as a function of time).
b) What is the average drift distance of free electrons in one direction in a half-cycle of current?

Homework Equations


J = σE = σEsin(ωt)
ω = 2πν
J = -eNevd

The Attempt at a Solution


Part a:

J = -eNevd
-eNevd = σEsin(ωt)
vd = (-σEsin(ωt)) / (eNe)

Part b:

Need help here, I attempted to plug in ω = 2πν into the equation J = σEsin(ωt), but don't seem to be getting anywhere, because I don't have σ or E.
 
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  • #2
achap6 said:
A metal wire with 1023 free electrons per cubic centimeter is carrying 60 Hz alternating current with a maximum current density of 100 amps/cm2.

Calculate the average absolute current density ( [ A/cm2 ] ).

Calculate the amount of coulombs moved per second.

Calculate the amount of centimeter wire-electrons is moved per second.
 

What is the concept of Average Electron Drift Distance with AC Current?

The concept of Average Electron Drift Distance with AC Current refers to the average distance that electrons move in a circuit when an alternating current (AC) is flowing. It is a measure of the overall movement of electrons in a circuit and is affected by the frequency and amplitude of the AC current.

How is Average Electron Drift Distance with AC Current different from DC Current?

DC (direct current) flows in one direction, while AC (alternating current) periodically changes direction. This results in a constantly changing electric field that affects the movement of electrons and causes them to move an average distance in one direction, instead of continuously in one direction like with DC current.

What factors affect the Average Electron Drift Distance with AC Current?

The average electron drift distance with AC current is affected by the frequency and amplitude of the current. A higher frequency and amplitude will result in a larger average drift distance, as the electrons are moving back and forth more rapidly and over a larger distance.

Why is understanding Average Electron Drift Distance with AC Current important?

Understanding the concept of Average Electron Drift Distance with AC Current is important in the study of electricity and electronics. It helps explain the behavior of electrons in a circuit and how they are affected by the characteristics of an AC current. This knowledge is essential in designing and troubleshooting electrical systems.

How is Average Electron Drift Distance with AC Current measured?

The average electron drift distance with AC current can be calculated using the formula: d = v*t, where d is the distance, v is the average velocity of the electrons, and t is the time period of the AC current. It can also be measured using specialized equipment such as an oscilloscope or a Hall effect sensor.

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