How Is the Total Number of Charge Carriers in a Conductor Calculated?

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The total number of positive charge carriers in a conductor is calculated using the formula nAL, where n represents the volume density of carriers, A is the cross-sectional area, and L is the length of the conductor. This formula derives from the concept that the number of carriers is the product of their density and the volume of the conductor. In SI units, n indicates the number of carriers per cubic meter. Therefore, the calculation involves multiplying the density by the volume, which is given by the product of the area and length. Understanding this relationship is essential for analyzing current flow in conductors.
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Homework Statement


Let L be the length of the conductor having uniform cross-section area A and density, let I be the current passing through the conductor. How the total number of positive charge carriers in the conductor of length L is (nAL)?
 
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n is just a given constant so naL is just a given too. Do not worry about it. It is just a density times a volume.
 
manimaran1605 said:

Homework Statement


Let L be the length of the conductor having uniform cross-section area A and density, let I be the current passing through the conductor. How the total number of positive charge carriers in the conductor of length L is (nAL)?

n is the volume density of carriers. In other words, there are n carriers per cubic meter if you're using SI units. Your wire volume is AL. So the number of carriers = number per cubic meter n times volume of the wire AL, or there is a total of nAL carriers in the wire.
 

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