has & 5% 11OFp fr Copper of 1.69 x 101ohm-m Cci ee electrons/em and a resistivity...
Chapter 30, Problem 031 If 67.5 cm of copper wire (diameter = 0.894 mm, resistivity = 1.69 x 10-892-m) is formed into a circular loop and placed perpendicular to a uniform magnetic field that is increasing at the constant rate of 14.5 mT/s, at what rate is thermal energy generated in the loop?
2) Silver has a density of 10.5 x 103 kg/m3 and a resistivity of 1.60 x 10-8 m at room temperature. (a) On the basis of the classical free electron gas model, and assuming that each silver atom contributes one electron to the electron gas, calculate the average time between collisions of the electrons. (b) Calculate the mean free path from t and the electron's thermal velocity. (c) How does the mean free path compare to the lattice spacing?
Examples1 1. We want to determine the number of free electrons per unit volume that participate in conduction in a monovalent metal at room temperature. There are 2 approaches. One approach is theoretical approach (A) and the other one is the experimental approach (B) A Calculate the number of free conduction electrons in a unit volume of an FCC metal with lattice parameter 3.6 X 10 10 m at room temperature. B) A Hall experiment is carried out and the...
1) The density of free electrons in gold is 5.90 x 1028 m-3. The resistivity of gold is 2.44* x 10-80 m at a temperature of 20°C and the temperature coefficient of resistivity is 0.004 (°C)-1. A gold wire, 1.1 mm in diameter and 26 cm long, carries a current of 760 ma. The drift velocity of the electrons in the wire is closest to: A) 1.1 x 10-4 m/s B) 8.5 x 10-5 m/s 09 9.7 x 10-5 m/s...
13. The resistivity of aluminum at 25 'C has been measured to be 2.72 x 10-8 0 m. The thermal coefficient of resistivity of aluminum at 0 C is 4.29 x 10-3 K-1. Aluminum has a valency of 3, a density of 2.70 g cm3, and an atomic mass of 27 a. Calculate the resistivity of aluminum at-40°С. (Ans: 2.03 x 103 Ω m) b. What is the thermal coefficient of resistivity at-40'C? (Ans: 5.23x 103K c. Estimate the mean...
#5. A) Estimate the resistivity of 2"Si (density of 1.04 x 1029 electrons/m3). The Fermi energy for silicon is about 5 eV. Assume A is roughly 100 times the atomic spacing, and the atomic spacing is 2.68 x 10-10 m. B) It turns out that the actual resistivity of silicon is much larger than what is predicted in Part A. Why might this be? C) What is the probability that a conduction electron in Si at 50, 000 K is...
nand a cross sectional area of 0.270 mm2. If the resistivity of copper is 1.70 x 10 m and a potential difference of 0.500 V is maintained across its lenqth, determine the current in has a length of 1.50 the wire (In A) Need Help? Read It -1 points SerPSE10 26.3.0P010 M Ask Your Teacher My Notes f the magnitude of the drift velocity of free electrons in a copper wire i 10 m/s. what the electric field in the...
1.A copper cylindrical wire which has a radius of 1.2 * 10 -3m carries a constant current of 6.0 A. Assume each copper atom contributes one free electron. The density of copper is 8.93 g/cm3. Calculate the following: a.Drift velocity, vD, (m/s) b.Resistance (Ω) of a 2 meter segment of this wire at room temperature You will need to look up the following: 1. molar mass of copper, 2. resistivity of copper @ room temp, 3. Avogadro’s number
(10 points) Lithium has one valence electron per atom that can be modeled as free electrons. Consider a Lithium sample made up of n 4.7 x 102 e/cm a) Determine the Fermi energy of Lithium. b) Calculate the Fermi temperature and the electron velocity at the Fermi surface c) Determine the value of the relaxation time and the mean free path of the conduction 2. electrons if the resistivity is approximately 10-5n.cm at room temperature. d) Calculate the specific heat...
(16 points) Copper has 8.5 x 1023 free electrons per cubic meter. A segment of copper wire that has a length of 45 cm and cross-sectional radius of 1.1 mm carries a current of 4.8 A. (a) Calculate the drift velocity of electrons in the wire. 9. (b) Calculate the average time i tkes for an electron to dfift through the wire segment. (Area of a circle A m2, where r is the radius)