Question

An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps. (a) What is the absolute value of the charge density in the wire? The density of copper is 8.96 g/cm3 and the density of aluminum is 2.70 g/cm3 . The molar mass of aluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron

Answer 1

Explanation:

28. An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps. (a) What is the absolute value of the charge density in the wire? (b) What is the drift velocity of the electrons? (c) What would be the drift velocity if the same gauge copper were used instead of aluminum? The density of copper is 8.96 g/cm3 and the density of aluminum is The molar mass of aluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron

Step-by-step solution

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Step 1 of 4

The drift velocity of the particle in a wire is,

Here, is the current, is the charge density, is the charge, and is area of cross section.

The equation for charge density is,

The expression of the cross-sectional area of the wire is,

Here, is the radius of the cross-section of the wire.

The diameter of the wire is,

Substitute for.

Substitute for in the equation and solve for.

Answer 2

Explanation:

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