Silver Wire
Ford chief executive's growing star power
DANIEL ACKER/BLOOMBERGAlan Mulally, Ford's president and chief executive officer, greets an attendee at the 2010 North American International Auto Show in Detroit. Mulally a former Boeing executive, has earned plaudits for keeping Ford out of bankruptcy and leading the automaker...
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What is the electric resistance of a silver wire 0.50m long with a diameter of 1.5mm if...?

What is the electric resistance of a silver wire 0.50m long with a diameter of 1.5mm if the resistivity of the is 1.59X10^(-8)?-m?

Given:

Formula:

Solution:

Answer:

Resistance of a wire in ?
R = ?L/A
? is resistivity of the material in ?-m
L is length in meters
A is cross-sectional area in m²
A = ?r², r is radius of wire in m

radius of wire is (1/2)0.0015 meter
A = ?r² = ?(0.00075)² = 1.77e-6 m²

R = ?L/A
R = (1.59e-8 ?-m)(0.5m) / (1.77e-6 m²)
R = 0.00450 ? or 4.5 m?

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