College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A copper wire has a diameter of 2.072 mm. What magnitude current flows when the drift velocity is 1.24 mm/s? Take the density of copper to be 8.92 103 kg/m3.
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- Calculate the drift velocity of electrons inside an aluminum wire that has a diameter of 2.053 mm (12-gauge) carrying a 20.0-A current. Assume one free electron per Al atom. The density and mass of Al is 2.70 x 10^3 kg/m^3 and 26.98 g/mol, respectively. (1 mol = 6.02 x 10^(23) atoms, charge of each carrier = 1.60 x 10^(-19) C).arrow_forwardAn iron wire with cross-section 2.6 x 10-6 m² carries current 115 A. Find the drift velocity Va, in units of milimeters per second, by assuming the existence of two carriers per iron atom. Hint: First, calculate number density n of the charge carriers. Answer:arrow_forwardA 14-gauge copper wire has a diameter of 1.508 mm. What magnitude current flows in amperes when the drift velocity is 0.500 mm/s? (The density of free electrons in copper is 8.34 x 1028 e /m³.).) Aarrow_forward
- The quantity of charge q (in coulombs) that has passed through a surface of area 1.95 cm² varies with time according to the equation q = 6t³ + 3t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 0.950 s? 19.245 ✔A (b) What is the value of the current density? 987 X What is the relationship between current and current density? kA/m²arrow_forwardThe quantity of charge q (in coulombs) that has passed through a surface of area 2.05 cm2 varies with time according to the equation q = 4t3 + 3t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.10 s? A (b) What is the value of the current density? KA/m2arrow_forwardAn iron wire has a cross-sectional area equal to 5.50 x 10-6 m². Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 12.0 A. (a) How many kilograms are there in 1.00 mole of iron? 0.055 kg/mol (b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter). 1.43163 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mol/m³ (c) Calculate the number density of iron atoms using Avogadro's number. atoms/m³ (d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom. electrons/m³ (e) Calculate the drift speed of conduction electrons in this wire. m/s Need Help? Read Itarrow_forward
- A copper wire has a circular cross section with a radius of 1.66 mm. HINT (a) If the wire carries a current of 3.18 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge carriers in copper to be n = 1.10 x 102⁹ electrons/m³.) m/s (b) For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 x 1029 electrons/m³. m/sarrow_forwardA copper wire has a diameter of 1.972 mm. What magnitude current flows when the drift velocity is 1.59 mm/s? Take the density of copper to be 8.92 103 kg/m3. ______ Aarrow_forwardA solid steel wire has a cross-sectional area of 8.05 x 10-6 m2 and is carrying a constant current of 15.0 A. The density of the wire is 8.05 g/cm3 and the material has a molar mass of 54.97 g/mol. Calculate the drift speed (in mm/s) of the electrons in the wire for the amount of current given. You can assume that each molecule of steel in the wire contributes one free electron of charge. Round your answer to 3 decimal places.arrow_forward
- Problem 1. A 50.0 m long Aluminum wire has a diameter of 0.50 mm and is at 20.0°C. If it carries a current of 0.50 mA, (a) calculate the power delivered to it? (b) If the temperature is increased to 340°C and the potential difference across the wire remains constant, what is the power delivered?arrow_forwardA copper wire of cross-sectional area 1.30 mm2 has a current of 7.10 A flowing along its length. What is the drift speed of the conduction electrons? Assume 1.30 conduction electrons per copper atom. The mass density of copper is 9.00 g/cm3 and its molar mass is 64.0 g/mol.arrow_forward
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