If the resistivity of a particular wire is 75.56x10-8 Ω⋅m, the wire is 48.16mm in length, and the radius of the diameter of the wire is 1.87m, what is the resistance of the wire in units of Ohms (Ω

If the resistivity of a particular wire is 75.56x10-8 Ω⋅m, the wire is 48.16mm in length, and the radius of the diameter of the wire is 1.87m, what is the resistance of the wire in units of Ohms (Ω

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 63P

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Concept explainers

Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.

Question

Resistance depends on the size and shape of a conductor. We expect a long wire to have higher resistance than a short one (everything else being the same) and a thicker wire to have a lower resistance than a thin one. Resistance also depends on the intrinsic property of the conductor called the resistivity. If the resistivity of a particular wire is 75.56x10^-8 Ω⋅m, the wire is 48.16mm in length, and the radius of the diameter of the wire is 1.87m, what is the resistance of the wire in units of Ohms (Ω

Note: It is understood that the unit of your answer is in Ohms (Ω

), however do not explicitly include units in your answer. Enter only a number.

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