Q. 6

Expert-verifiedFound in: Page 761

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

a. How many conduction electrons are there in a diameter gold wire that is long?

b. How far must the sea of electrons in the wire move to deliver of charge to an electrode?

a. There are conduction electrons are there in a diameter gold wire that is long.

b.far must the sea of electrons in the wire move to deliver of charge to an electrode.

Gold wire diameter

Gold wire length

In our case, the cross-section is a circle, so the volume of the wire is the area times the length

The electron density is the number of electrons per unit volume is,

Calculate the number of electrons,

Substitute the values,

Hence, there are conduction electrons are there in a diameter gold wire that is long.

Gold wire diameter

Gold wire length

The charge delivered will be given as

Where is the number of electrons moved, and is the elementary charge.

The number we found is,

Where is the distance that the charges moved,

Substituting the number of electrons, , we get

Substitute the values we get,

Hence, the distance for the sea of electrons in the wire move to deliver of charge to an electrode is

94% of StudySmarter users get better grades.

Sign up for free