A wire 6.50 m long with diameter of 2.05 mm has a resistance of 0.0290 Ω. What material is the

step 1 We're given that a wire is 6 .5 meters long. It has a diameter of 2 .05 millimeters, which is 2

A wire 6.50 m long with diameter of 2.05 mm has a...

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Key Concepts

Resistivity

Resistivity is an intrinsic property of a material that quantifies how strongly the material opposes the flow of electric current. It is independent of the object's shape or size, and different materials have characteristic resistivity values. This concept is key in determining the identity of a material by comparing experimentally derived resistivity with standard values.

Relationship Between Resistance, Length, and Cross-Sectional Area

The resistance of a conductor is directly proportional to its length and inversely proportional to its cross-sectional area, as described by the formula R = ?L/A. This relationship allows one to determine the resistivity of a material (and thus infer the material type) by measuring its resistance along with its geometric parameters.

Material Identification through Electrical Measurements

By calculating the resistivity from the measured resistance and the known dimensions of a wire, one can compare the result with standard resistivity values of common conductive materials. This approach is frequently used in material science and electrical engineering to identify or validate the type of metal used in a conductor.

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