Comparing Current in two different wires

  • Thread starter Thread starter aba3
  • Start date Start date
  • Tags Tags
    Current Wires
Click For Summary

Homework Help Overview

The discussion revolves around comparing the current in two wires made of different metals, subjected to the same electric field. The problem involves understanding the relationship between the number of mobile electrons, cross-sectional area, and mobility in determining the current in each wire.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the formula for current and how the factors of cross-sectional area, electron density, and mobility affect the current in each wire. There are attempts to clarify the interpretation of the electron density and its relation to the overall current calculation.

Discussion Status

Participants are actively questioning the assumptions made regarding the electron density and mobility. Some have provided alternative interpretations of the problem, and there is a recognition of differing views on how to apply the given information. Acknowledgment of previous attempts and corrections has been noted, indicating a productive exchange of ideas.

Contextual Notes

There is a mention of discrepancies with an online homework platform regarding the calculated current, which adds a layer of complexity to the discussion. Participants are also considering the implications of the units used in the calculations.

aba3
Messages
7
Reaction score
0
Problem:
Suppose wire A and wire B are made of different metals, and are subjected to the same electric field in two different circuits. Wire B has 5 times the cross-sectional area, 1.1 times as many mobile electrons per cubic centimeter, and 2 times the mobility of wire A. In the steady state, 2E18 electrons enter wire A every second. How many electrons enter wire B every second?

Equation:
i = nAuE
n = Electrons/cubic meter
A = cross-sectional area
u = mobility of electrons
E = electric fieldSolution:
ib=ia * 2*5*1.1E6
it is 1.1E6 because the mobility factor needs to be in electrons/ cubic meter

ib = 2.2E25

Webassign says that's wrong. I can't come up with anything else
 
Physics news on Phys.org
ib=ia * 2*5*1.1E6
Omit the E6. The whole story is
i = nAuE = 2*n1*5*A1*1.1*u1*E
= 2*5*1.1*n1*A1*u1*E
= 2*5*1.1*i1
= 2*5*1.1*2E18
If 1.1 times as many electrons per cm^3, then there will be 1.1 times as many electrons per m^3 too.
 
there are a million cubic centimeters in a meter cube. if each cubic cm has 1.1 more electron then the meter cube has 1.1E6 extra electrions
(Also, I already tried that and webassign said I was wrong).
 
No. It doesn't give a count of the extra electrons. It says the other wire has 10% more per cm^3. That means 10% more per m^3. Say the first one has 100 per cm^3. Then the second will have 110.
Per m^3 the first one will have 100*1E6 and the second will have
110*1E6. The ratio will be 110E6/100E6 = 1.1Kind of like saying what if every student in the class overeats and comes back to class on Monday 10% heavier. Then the whole class together will be 10% heavier, not 10*the number of students heavier in pounds, kg or tons.
 
You were right. Thanks.
 

Similar threads

Replies
8
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
8K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 3 ·
Replies
3
Views
15K
  • · Replies 15 ·
Replies
15
Views
2K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K