A wire 3.98 m long and 7.88 mm in diameter has a resistance of 11.4 m?. A potent

Question

A wire 3.98 m long and 7.88 mm in diameter has a resistance of 11.4 m?. A potential difference of 32.7 V is applied between the ends. (a) What is the current in amperes in the wire? (b) What is the magnitude of the current density? (c) Calculate the resistivity of the material of which the wire is made.

(a) Number Units A wire 3.98 m long and 7.88 mm in diameter has a resistance of 11.4 m?. A potential difference of 32.7 V is applied between the ends. (a) What is the current in amperes in the wire? (b) What is the magnitude of the current density? (c) Calculate the resistivity of the material of which the wire is made.

Explanation / Answer

a)

I = V/R

= 32.7 / 0.0114

= 2868 A

b

Current density = I/A

= 2868 / (pi * 0.00394^2)

= 5.88 * 10^7 A/m^2

c)

resistiity = RA/l

= 0.0114 * (pi * 0.00394^2) / 3.98

= 1.396 * 10^(-7) ohm meter

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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