
College Physics
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ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Transcribed Image Text:A 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.).)
A
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- A gold wire carries 15.6 A of current with a drift velocity of 3.7 × 10-3 m/s. Assume there is one free electron per gold atom, and the density of gold is 1.93 × 104 kg/m3. The molecular weight of gold is 196.97 g/mol. Part (a) What is the diameter of this gold wire? Part (b) For the problem above, determine the resistance of the wire under those conditions. Assume the wire is 4.2 m in length, and the resistivity of gold is 2.44 × 10-8 Ω⋅m. Part (c) How much power is dissipated by this wire? (In watts) Part (d) If the wire is heated by an additional 189 K (compared to part (a)), what is the new resistance at this raised temperature? The temperature coefficient of resistivity for gold is 3.4 × 10-3 °C-1 Part (e) Under the conditions in part (d), what is the value of the potential for the wire? Part (f) Under the conditions in part (d), how many electrons pass through the wire in 11 s?arrow_forwardA 220-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1,180 A. If the conductor is copper with a free charge density of 8.5 x 1028 electrons per cubic meter, how many years does it take one electron to travel the full length of the cable? (Use 3.156 × 107 for the number of seconds in a year.) yrarrow_forwardThe unspecified currents in (Figure 1) are IA = 3 A and ID = 3 A. The directions of the currents are as noted. Figure IA 7 A Ic IB ID 1 of 1 Part A What is the value of current Ic in the figure? Express your answer with the appropriate units. Ic= 6 Submit Part B X Incorrect; Try Again; One attempt remaining IB = What is the value of current IB in the figure? Express your answer with the appropriate units. Submit A Previous Answers Request Answer Value Provide Feedback ? Units ? Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Next >arrow_forward
- A 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 current of 500 A flows in a 30 km long copper transmission line (diameter 1.0 cm). a) What is the current density? b) What is the drift speed of the booking drivers? c) How long does it take for a single electron to travel from one end of the transmission line to the other? The number (density) of free charge carriers (electrons) is 8.5×1028 m-3arrow_forwardAsaparrow_forward
- Current and Resistance Problem 17: An unknown wire in a circuit has a circular cross-section with diameter 2.5 mm. It carries a current of 8.8 mA. Part (a) What is the current density, in milliamperes per square centimeter, in this wire? Part (b) If you assume the drift velocity in this wire is 1 × 10-2 cm/s, what is the density of charge carriers per cubic centimeter? Part (c) If the conductivity in this wire is 1.5 × 106 Ω-1 m-1, what is the average time between collisions, in nanoseconds?arrow_forwardProblem 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_forward
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