A cylindrical platinum wire is 0.0644 mm in diameter and 1.05 m in length. The wire carries a 1.05 A current. Assume there is one free electron (q = -1.602x10-19 C) per platinum atom. Avogadro's number is 6.022x1023 atoms per mol. Platinum has a density of 21.5 g/cm³, a molar mass of 195 g/mol, and a resistivity of 10.6x10-8 m. (a) Find the the current density (j), in units of A/m². (b) Find the number density of free electrons (n), in units of m-3, (c) Find the drift velocity of electrons in the wire (va), in units of m/s. (d) Find the magnitude of the electric field in the wire, in units of N/C. (e) Find the potential difference across the wire, in units of Volts.

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Problem 7
A cylindrical platinum wire is 0.0644 mm in diameter and 1.05 m in length. The wire
carries a 1.05 A current. Assume there is one free electron (q = -1.602x10-19 C) per
platinum atom. Avogadro's number is 6.022x1023 atoms per mol. Platinum has a density
of 21.5 g/cm³, a molar mass of 195 g/mol, and a resistivity of 10.6x10-8 Qm.
(a) Find the the current density (j), in units of A/m².
(b) Find the number density of free electrons (n), in units of m-3.
(c) Find the drift velocity of electrons in the wire (va), in units of m/s.
(d) Find the magnitude of the electric field in the wire, in units of N/C.
(e) Find the potential difference across the wire, in units of Volts.
Transcribed Image Text:Problem 7 A cylindrical platinum wire is 0.0644 mm in diameter and 1.05 m in length. The wire carries a 1.05 A current. Assume there is one free electron (q = -1.602x10-19 C) per platinum atom. Avogadro's number is 6.022x1023 atoms per mol. Platinum has a density of 21.5 g/cm³, a molar mass of 195 g/mol, and a resistivity of 10.6x10-8 Qm. (a) Find the the current density (j), in units of A/m². (b) Find the number density of free electrons (n), in units of m-3. (c) Find the drift velocity of electrons in the wire (va), in units of m/s. (d) Find the magnitude of the electric field in the wire, in units of N/C. (e) Find the potential difference across the wire, in units of Volts.
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