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Q. 6

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 761

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Short Answer

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.

See the step by step solution

Step by Step Solution

Step 1: Given Information (Part a)

Gold wire diameter

Gold wire length

Step 2: Explanation (Part a)

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,

Step 3: Final Answer (Part a) 

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

Step 4: Given Information (Part b)  

Gold wire diameter

Gold wire length

Step 2: Explanation (Part b)  

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,

Step 3: Final Answer (Part b)  

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

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