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- An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the absolute value of the charge density in the wire? (b) What is the drift velocity of the electrons? (c) What would be the drift velocity if the same gauge copper were used instead of aluminum? The density of copper is 8.96 g/cm3 and thedensity of aluminum is 2.70 g/cm3. The molar mass ofaluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron.Figure P26.6 represents a section of a conductor of nonuniform diameter carrying a current of I = 5.00 A. The radius of cross-section A1 is r1 = 0.400 cm. (a) What is the magnitude of the current density across A1? The radius r2 at A2 is larger than the radius r1 at A1. (b) Is the current at A2 larger, smaller, or the same? (c) Is the current density at A2 larger, smaller, or the same? Assume A2 = 4A1. Specify the (d) radius, (e) current, and (f) current density at A2. Figure P26.6Unreasonable Results (a) What current is needed to transmit 1.00 102 MW of power at 10.0kV? (b) Find the resistance of 1.00 km of wire that would cause a 0.0100% power loss. (c) What is the diameter of a 1.00-km-long copper wire having this resistance? (d) What is unreasonable about these results? (e) Which assumptions are unreasonable, or which premises are inconsistent?
- 1. Consider a cylindrical wire that has conduction electron density 6.0 × 1028 1 ,3 and radius 0.5 mm. An electric field with strength m- 7.5 × 10-4 creates a current of 4.8 x 10! electrons per second. a) What is the average drift speed for an electron? (include units) b) What is the average time in between electron collisions? fs (express your answer in femtoseconds)ostro Imssb1.mutah.edu.jo/r A conductor has a cross-sectional area of 2.3x 10-6 m2 and the number of free electrons per unit volume is 8.5x 1028 electron/m. When the current is 9 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6x 10-19 C2. The current density in a copper wire of diameter 1.5 mm ig 1.5x 10° A/m2. The number of free electrons per cubic meter of copper is 9 x 1027. Find the: a. currentin the wire and b. magnitude of drift velocity of electrons in the wire.
- 1. Consider a cylindrical wire that has conduction electron density 6.0 x 1028 and radius 0.5 mm. An electric field with strength 1 m3 7.5 x 10-4 creates a current of 4.8 × 10" electrons per second. a) What is the average drift speed for an electron? (include units) b) What is the average time in between electron collisions? fs (express your answer in femtoseconds)A conductor has a cross-sectional area of 2.3x106 m² and the number of free electrons per unit volume is 8.5 X1028 electron/m³. When the current is 6.4 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6×10-19 c. Select one: A. 0.20 B. 26.86 C. 0.14 D. 20.46 E. 0.275. An iron wire has a cross-sectional area of 5.00 x 10-6m². Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 30.0A. a. How many kilograms are there in 1.00 mole of iron? 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). c. Calculate the number density of iron atoms using Avogadro's number. d. Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom. e. Calculate the drift speed of conduction electrons in this wire.
- A conductor has a cross-sectional area of 2.3x10-6 m2 and the number of free electrons per unit volume is 8.5 x1028 electron/m³. When the current is 6.2 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6×10-19 c. Select one: А. 0.20 B. 0.14 C. 0.26 D. 26.02 Е. 19.82A conductor has a cross-sectional area of 2.3×10-6 m² and the number of free electrons per unit volume is 8.5x 1028 electron/m3. When the current is 7.5 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6x 10-19 C. Select one: OA. 31.48 O B. 0.16 O C. 0.24 D. 0.31 E. 23.98 Next pageQ3.a.Calculate the current density for Aluminum wire has radius 1mm and current 1mA? 318.31A/m? b. Calculate the drift speed for electrons in the wire ? 3.29*10-8 m/s if the pAL-2.7*103 kg/m3 and if you know that one mole in the Aluminum has mass equal to 26.98g and there is one conduction for each Aluminum atome?