help Two insulated copper wires of similar overall diameter have very different

Question

help

Two insulated copper wires of similar overall diameter have very different interiors. One wire possesses a solid core of copper, with a circular cross-section of radius 2.28 mm. The other wire is composed of 19 strands of thin copper wire bundled together. Each strand has a circular cross-section of radius 0.456 mm. The current density in each wire is the same: J=1750 A/m2 How much current does each wire carry? Solid Wire: Number .0286 Amps Standed Wire: Number .0217 Amps e resistivity of copper is 1.69 x 10-8 m. What is the resistance of a 6.25 m length of each wire? Solid Wire: Number 0.0010348 Standed Wire: Number .00136

Explanation / Answer

current=current density*area

for solid wire,

area=pi*(2.28*0.001)^2=1.6331*10^(-5) m^2

so current=J*area=0.0286 Amps

for stranded wire,

area=19*pi*(0.456*0.001)^2=1.2412*10^(-5) m^2

so current=J*area=0.0217 Amps

Q2..

resistance=resistivity*length/area

so for solid wire

resistance=1.69*10^(-8)*6.25/(1.6331*10^(-5))=0.0065 ohms

for stranded wire:1.69*10^(-8)*6.25/(1.2412*10^(-5))=0.0085 ohms

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.