History Bookmarks Window Help MasteringPhysics: Assignment 8 s D 46743199 signed

Question

History Bookmarks Window Help MasteringPhysics: Assignment 8 s D 46743199 signed in as yaqoob almukaimi Hofp Chose previous l 1 of 7 next Part D You are presented with several wires made ofthe same conducting material. The radius and drift speed are given for each wire in terms of some unknown units rand v Rank the wires in order of Rank from most to least electron current. To rank items as equivalent, overlap them. drift speed 2.5w drin speed sv drift speed 0.5e aThe correct cannot be determined. ranking srts My Answers Give up Review Part The den speed ol heeectrons e a wre depends on which of following factors? wrea strongly the wine So Solu Prob

Explanation / Answer

The relation between current(I) and drift velocity(v) is given as :

I = neAv

where n = no of electrons per unit volume

e = charge of electrons

A = area of cross section = pi*r^2

So, I = ne(pi*r^2)*v = ne*pi*(vr^2)

So, the one having the greatest ( v*r^2 ) product will have the greatest current

For radius = 2r , speed = 2.5 v , the product = 2.5v*(2r)^2 = 10vr^2 <--------fastest

for radius = 1r , speed = 5 v , the product = 5v*(1r)^2 = 5vr^2 <-----------slowest

for radius = 4r , speed = 0.5 v , the product = 0.5v*(4r)^2 = 8vr^2 <--------2nd slowest

for radius = 3r , speed = 1 v , the product = 1v*(3r)^2 = 9vr^2 <------- 2nd fastest

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