Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 29, Problem 47CP
A wire carrying a current I is bent into the shape of an exponential spiral, r = eθ, from θ = 0 to θ = 2π as suggested in Figure P29.47. To complete a loop, the ends of the spiral are connected by a straight wire along the x axis. (a) The angle β between a radial line and its tangent line at any point on a curve r = f(θ) is related to the function by
Use this fact to show that β = π/4. (b) Find the magnetic field at the origin.
Figure P29.47
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A wire carrying a current I is bent into the shape of an exponential spiral, r = eθ, from θ = 0 to θ = 2π as suggested in the figure. To complete a loop, the ends of the spiral are connected by a straight wire along the x axis. (a) The angle β between a radial line and its tangent line at any point on acurve r = f(θ) is related to the function by tan β = (r)/(dr/dθ)Use this fact to show that β = π/4. (b) Find the magnetic field at the origin.
Chapter 29 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 29.1 - Consider the magnetic field due to the current in...Ch. 29.2 - Prob. 29.2QQCh. 29.3 - Prob. 29.3QQCh. 29.3 - Prob. 29.4QQCh. 29.4 - Consider a solenoid that is very long compared...Ch. 29 - Calculate the magnitude of the magnetic field at a...Ch. 29 - Prob. 2PCh. 29 - In Niels Bohrs 1913 model of the hydrogen atom, an...Ch. 29 - Prob. 4PCh. 29 - Prob. 5P
Ch. 29 - Consider a flat, circular current loop of radius R...Ch. 29 - Prob. 7PCh. 29 - One long wire carries current 30.0 A to the left...Ch. 29 - Determine the magnetic field (in terms of I, a,...Ch. 29 - Prob. 10PCh. 29 - Two long, parallel wires carry currents of I1 =...Ch. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - You are part of a team working in a machine parts...Ch. 29 - Why is the following situation impossible? Two...Ch. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - The magnetic coils of a tokamak fusion reactor are...Ch. 29 - A packed bundle of 100 long, straight, insulated...Ch. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - A long solenoid that has 1 000 turns uniformly...Ch. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27PCh. 29 - You are working for a company that creates special...Ch. 29 - A solenoid of radius r = 1.25 cm and length =...Ch. 29 - Prob. 30PCh. 29 - Prob. 31APCh. 29 - Why is the following situation impossible? The...Ch. 29 - Prob. 33APCh. 29 - Prob. 34APCh. 29 - Prob. 35APCh. 29 - Prob. 36APCh. 29 - A very large parallel-plate capacitor has uniform...Ch. 29 - Two circular coils of radius R, each with N turns,...Ch. 29 - Prob. 39APCh. 29 - Two circular loops are parallel, coaxial, and...Ch. 29 - Prob. 41APCh. 29 - Review. Rail guns have been suggested for...Ch. 29 - Prob. 43APCh. 29 - An infinitely long, straight wire carrying a...Ch. 29 - Prob. 45CPCh. 29 - Prob. 46CPCh. 29 - A wire carrying a current I is bent into the shape...Ch. 29 - Prob. 48CPCh. 29 - Prob. 49CPCh. 29 - Prob. 50CPCh. 29 - Prob. 51CP
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