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Chapter 27: Q. 4 (page 762)

Electrons flow through a 1.6mmdiameter aluminum wire atrole="math" localid="1648804486550" 2.0脳10-4m/s. How many electrons move through a cross-section of the wire each day?

Short Answer

Expert verified

The number of electrons moves through a cross-section of the wire each day is 2.08脳1024e.

Step by step solution

01

Given Information

Aluminum wire diameter=1.6mm

Time=2.0脳10-4m/s

02

Explanation

The electron density is given as,

ie=neAvd

Where A=蟺D24is the area of the cross-section.

Number Nof electrons passing in time t, the electron density is by,

ie=Nt

The number of electrons as

N=tie

Substituting the expression for the electron intensity,

localid="1648804706106" N=tnevd蟺D24

N=3600s脳24s脳6脳1028e脳2脳10-4m/s脳蟺脳0.00162mm4

Simplify the expression,

localid="1649322987825" =2.08脳1024e.

03

Final Answer

Hence, the number of electrons move through a cross-section of the wire each day is2.08脳1024e.

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