Resistors and Ohm's Law Video Lessons

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Problem: In household wiring, copper wire 2.05 mm in diameter (12 gauge) is often used. Find the resistance of a 24.0 m length of this wire. Note the resistivity of copper is 1.72×10-8 Ω·m.

FREE Expert Solution

Resistance:

R=ρlA

where ρ is the resistivity, l is the length, and A is the area. 

A = π(d/2)2 = π(2.05mm/2)2(1m/1000mm)2 

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In household wiring, copper wire 2.05 mm in diameter (12 gauge) is often used. Find the resistance of a 24.0 m length of this wire. Note the resistivity of copper is 1.72×10-8 Ω·m.

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