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College Physics
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ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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When a current flows in an aluminum wire of diameter 2.33 mm, the drift speed of the
What is the electron current?
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- A copper wire has a square cross section 2.3mm on a side. The wire is 4m long and carries a current of 3.6 A. The density of the free electrons is n = 8.5 * 1029 m-3. The resistivity of Copper is 1.7 * 10-8 ohmmeter. What is the current density and the electric field inside the wire?arrow_forward1 %AV |11. V;IV then total charge which crosses the section in time dt is dq = nAevdt. Since current is the rate of flow of charge, it is given as dg nAevdt = nAev dt dt Current density, J == nev ampere/metre Assuming a normal current density J= 1.55 x 10° A/m?, n = 10° for a copper conductor and e =1.6 x 10-19 coulomb, we get 1.55 x 10 = 1029 x 1.6 x 10-19 × v v = 9.7 x 10-5 m/s Example 3: The charge flowing through the imaginary surface in Fig. 7 is 0.16 C every 64 ms. Detemine the current in amperes. Example 4: Determine the time required for 4 x 101 electrons to pass through the imaginary surface in Fig. 7 if the current is 5 mA Example 5: A conductor material has a free-electron density of 1024 electrons per metre', when a voltage is applied, a constant drift velocity of 1.5x10° meter/second is attained by the electrons. If the cross-sectional area of the material is 1 cm?, calculate the magnitude of the current. (Answer: I=0.24 A) Example 6: A copper wire of are 5mm2 has a…arrow_forwardShown below is a copper wire with the following characteristics: Diameter: 1.45 mm.00145m 1.45 × 10-8 m Number density of electrons: 8.47 x 1028 electrons/m³. Conductivity: 5.96 x 107 S/m a. Calculate the drift velocity (magnitude and direction) of the electrons in the wire when a current of 5.00 A is running through it. b. What direction is the current moving? c. Remembering that current density is a vector, calculate the magnitude and direction of the current density of this wire. d. Calculate the resistivity of the wire. e. Calculate the resistance of this wire if it were 10.0 m in length.arrow_forward
- hw6 A current of I = 1.4 A is passing through a conductor with cross sectional area A = 4.5 × 10-4 m2. The charge carriers in the conductor, electrons, have a number density n = 9.7 x 1027 m-3. Calculate the numerical value of v, in m/s.arrow_forwardA wire has a current density of 6.71 × 10° A/m2. If the cross-sectional area of the wire is 1.03 mm2, what current I does the wire carry? I = A With this current, how much time t is required for 3.99 × 1020 electrons to pass any point on the wire? t = Sarrow_forwardA 1.0 mm diameter Nichrome wire carries a 3.9 mA current. What does the electric field strength need to be to create this current (in V/m)?arrow_forward
- hw6 A current of I = 1.4 A is passing through a conductor with cross sectional area A = 4.5 × 10-4 m2. The charge carriers in the conductor, electrons, have a number density n = 9.7 x 1027 m-3. Calculate the numerical value of v, in m/s.arrow_forwardAn 18 gauge copper wire (diameter 1.02 mm) carries a currentwith a current density of 3.20 * 10^6 A/m2. The density of freeelectrons for copper is 8.5 * 10^28 electrons per cubic meter. Calculate(a) the current in the wire and (b) the magnitude of the drift velocity ofelectrons in the wire.arrow_forwardI was working on the equation and I kept getting the answer wrong. n = 2.30/(1.76*10^-25) is the solution i getarrow_forward
- What is the drift velocity in a 10.3 cm long section of wire that is carrying 624 Amps?arrow_forwardA new material is found to be superconducting below 77 K. How much resistance will a 75 mm long sample of this material have if it is at a temperature of 69.3 K while connected to a 6.4 V AC-power supply? R = How much thermal energy will it generate?Thermal energy generated =arrow_forwardNeeds Complete typed solution with 100 % accuracy.arrow_forward
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