Latin Impressions
In: Uncategorized
10 Feb 2012
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)Ω-m?
Given:
Formula:
Solution:
Answer:
Resistance of a wire in Ω
R = ρL/A
ρ is resistivity of the material in Ω-m
L is length in meters
A is cross-sectional area in m²
A = πr², r is radius of wire in m
radius of wire is (1/2)0.0015 meter
A = πr² = π(0.00075)² = 1.77e-6 m²
R = ρL/A
R = (1.59e-8 Ω-m)(0.5m) / (1.77e-6 m²)
R = 0.00450 Ω or 4.5 mΩ
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