Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 28, Problem 17PQ
The amount of charge that flows through a copper wire 1.00 cm in radius as a function of time is given by
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An unknown wire in a circuit has a circular cross-section with diameter 4.8 mm. It carries a current of 2.1 mA.
A. What is the current density, in milliamperes per square centimeter, in this wire?
B. If you assume the drift velocity in this wire is 1 × 10-2 cm/s, what is the density of charge carries per cubic centimeter?
C. If the conductivity in this wire is 3.5 × 106 Ω-1 m-1, what is the average time between collisions, in nanoseconds?
A conducting rod with a circular cross-section (this rod is a cylinder) has a radius of 10
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That's a lot of current!
a. What is the resistance of the rod, when measured from one end to the other?
b. Calculate the current density in the rod along its length.
Determine the electric field amplitude at all locations within the rod.
c.
d. What is the electric potential difference between the two ends of the rod.
PROBLEM 1:
A silver wire 2.6 mm in diameter transfers a charge of 420 C in 80 min. Silver contains
5.8 x 1028 free electrons per cubic meter.
a. What is the current in the wire?
b. What is the magnitude of the drift velocity of the electrons in the wire?
Chapter 28 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 28.1 - Prob. 28.1CECh. 28.2 - Prob. 28.2CECh. 28.3 - Prob. 28.3CECh. 28.5 - When a lightbulb burns out, its filament breaks so...Ch. 28.6 - A battery with terminal potential is connected to...Ch. 28.7 - A battery of terminal potential is connected to a...Ch. 28 - Prob. 1PQCh. 28 - Prob. 2PQCh. 28 - Prob. 3PQCh. 28 - Prob. 4PQ
Ch. 28 - Prob. 5PQCh. 28 - Prob. 6PQCh. 28 - Prob. 7PQCh. 28 - Prob. 8PQCh. 28 - Prob. 9PQCh. 28 - Prob. 10PQCh. 28 - Prob. 11PQCh. 28 - Prob. 12PQCh. 28 - Prob. 13PQCh. 28 - Prob. 14PQCh. 28 - The current in a wire varies with time (measured...Ch. 28 - Prob. 16PQCh. 28 - The amount of charge that flows through a copper...Ch. 28 - Prob. 18PQCh. 28 - Prob. 19PQCh. 28 - Prob. 20PQCh. 28 - Prob. 21PQCh. 28 - Prob. 22PQCh. 28 - A copper wire that is 2.00 mm in radius with...Ch. 28 - Prob. 24PQCh. 28 - Prob. 25PQCh. 28 - Prob. 26PQCh. 28 - What is the electric field in an aluminum wire if...Ch. 28 - Prob. 28PQCh. 28 - Prob. 29PQCh. 28 - Prob. 30PQCh. 28 - Prob. 31PQCh. 28 - Prob. 32PQCh. 28 - Two concentric, metal spherical shells of radii a...Ch. 28 - Prob. 34PQCh. 28 - Prob. 35PQCh. 28 - Prob. 36PQCh. 28 - Prob. 37PQCh. 28 - A lightbulb is connected to a variable power...Ch. 28 - Prob. 39PQCh. 28 - Prob. 40PQCh. 28 - Prob. 41PQCh. 28 - Prob. 42PQCh. 28 - Prob. 43PQCh. 28 - A Two wires with different resistivities, 1 and 2,...Ch. 28 - A copper and a gold wire are supposed to have the...Ch. 28 - Gold bricks are formed with the dimensions 7358134...Ch. 28 - Prob. 47PQCh. 28 - Prob. 48PQCh. 28 - Prob. 49PQCh. 28 - Prob. 50PQCh. 28 - Prob. 51PQCh. 28 - Prob. 52PQCh. 28 - Prob. 53PQCh. 28 - Prob. 54PQCh. 28 - A two-slice bread toaster consumes 850.0 W of...Ch. 28 - Prob. 56PQCh. 28 - Prob. 57PQCh. 28 - Prob. 58PQCh. 28 - Prob. 59PQCh. 28 - Prob. 60PQCh. 28 - Prob. 61PQCh. 28 - Prob. 62PQCh. 28 - Prob. 63PQCh. 28 - Prob. 64PQCh. 28 - Prob. 65PQCh. 28 - Prob. 66PQCh. 28 - Prob. 67PQCh. 28 - Prob. 68PQCh. 28 - Prob. 69PQCh. 28 - Prob. 70PQCh. 28 - Prob. 71PQCh. 28 - Prob. 72PQCh. 28 - Prob. 73PQCh. 28 - Prob. 74PQCh. 28 - Review When a metal rod is heated, its resistance...Ch. 28 - Prob. 76PQCh. 28 - Prob. 77PQCh. 28 - Prob. 78PQCh. 28 - Prob. 79PQCh. 28 - Prob. 80PQCh. 28 - Prob. 81PQCh. 28 - A conducting material with resistivity is shaped...
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- 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 P26.6arrow_forwardA conducting material with resistivity is shaped into a wire of length ( with a tapered cross section that decreases from radius r1 on the left end to r2 on its right end (Fig. F28.82). If the current density in the wire is a constant as a function of the horizontal distance x along the wire, what is the resistance of this tapered wire?arrow_forwardp versus T. The figure shows the behavior of the resistivity p of a material Z as a function of temperature T. If a constant electric field is maintained inside it, which of the following statements is/are TRUE P. about the metal? I. The current density in metal Z increases with increasing tempera- -T To ture. II. Its resistivity at T = T, is Po. III. Metal Z becomes a better conductor with increasing temperature. A. I only В. П only C. I and II D. II and IIIarrow_forward
- A conducting rod with a circular cross-section (this rod is a cylinder) has a radius of 1o mm and is 2 metres long. The rod is made of aluminum, so its conductivity is 3.6 x 10' s/m. A potential difference (voltage) is applied at both ends of this rod and the current is I= 90 A. That's a lot of current! a. What is the resistance of the rod, when measured from one end to the other? b. Calculate the current density in the rod along its length. . Determine the electric field amplitude at all locations within the rod. d. What is the electric potential difference between the two ends of the rod.arrow_forward1. Silver is composed of 5.8 x 1028 free electrons per cubic meter. If a silver wire with a diameter of 1.8 mm can allow charges of 360 C to flow in 1 hour,a. What is the current in the conducting wire?b. What is the magnitude of the drift velocity of the electrons in the conducting wire?arrow_forwardThe figure below represents a section of a circular conductor of nonuniform diameter carrying a current of I = 5.30 A. The radius of cross-section A1 is r1 = 0.510 cm. What is the magnitude (A/m2) of the current density across A1? Since the radius r2 at A2 is larger than the radius r1 at A1. will the current and current density at A2 larger, smaller, or the same? Assume A2 = 5A1. What is the radius, the current, and the current density at A2?arrow_forward
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