Question: Please answer for c) and d). Imagine a 1 [m] length of copper wire that carries a current of 50 [mA] and has a cross-section
Please answer for c) and d).
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Imagine a 1 [m] length of copper wire that carries a current of 50 [mA] and has a cross-section area of 0.4 x 10-6 [m]. a) What is the drift speed of the electrons? Express your answer in um/s). Electrons do not move instantaneously down a wire. They bumble down the wire, about the speed of spreading honey. b) How long will it take an electron to travel the wire's length? Express your answer in days! c) What is the average time between collisions ? You should get 10-14 [s]. d) Show that an electron traveling at a typical thermal speed of 106 [m/s] will cover about 25 [nm] of distance (or roughly one hundred atom widths) on the average between collisions. This is why the net drift speed is so much smaller than the thermal speed. One mole is 6.02 x 1023 atoms. The number density of conduction electrons is the same as the number density of atoms. The mass of the electron is 9.1 x 10-31 [kg]. The atomic weight of copper is 63.5 [g/mole) and its density is 8900 [kg/m?). The conductivity o is 5.9 x 107 (Csm-3 kg-1). Imagine a 1 [m] length of copper wire that carries a current of 50 [mA] and has a cross-section area of 0.4 x 10-6 [m]. a) What is the drift speed of the electrons? Express your answer in um/s). Electrons do not move instantaneously down a wire. They bumble down the wire, about the speed of spreading honey. b) How long will it take an electron to travel the wire's length? Express your answer in days! c) What is the average time between collisions ? You should get 10-14 [s]. d) Show that an electron traveling at a typical thermal speed of 106 [m/s] will cover about 25 [nm] of distance (or roughly one hundred atom widths) on the average between collisions. This is why the net drift speed is so much smaller than the thermal speed. One mole is 6.02 x 1023 atoms. The number density of conduction electrons is the same as the number density of atoms. The mass of the electron is 9.1 x 10-31 [kg]. The atomic weight of copper is 63.5 [g/mole) and its density is 8900 [kg/m?). The conductivity o is 5.9 x 107 (Csm-3 kg-1)
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