Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 30, Problem 30.4QQ
To determine
The rank of the closed path from a
d
∮ B → ⋅ d s →
Expert Solution & Answer
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Students have asked these similar questions
Rank the magnitudes of ∮ B→ ⋅ d s→ for the closed paths a through d as shown from greatest to least.
2. The current distribution of an infinite,
wire can be described in cylindrical coordinates by
J = J(p) 2.
longitudinally-uniform, and axially-symmetric
(a) Show that. J = 0.
(b) Considerations of longitudinal and axial symmetry require that the mag-
netic field can only depend upon p, i.e. that
B(p) = Bp(p)ô + Bø(p) + B₂(p)2.
Use Ampère's Law to determine B6 (p) in terms of I (p) = 2π J(p') p'dp'.
(c) Use the Biot and Savart Law to show that Bp(p) = B₂ (p) = 0. Side note:
it is pretty easy to show that B,(p) must be zero using Gauss's Law for
B with a cylindrical volume. I am not aware of an "easy" way to see
B₂ (p) = 0 - not that it is very difficult using the Biot and Savart Law...
(d) Use the integral form for the vector potential [Jackson, Eq. (5.32)] to
determine A for this current distribution. Hint: in order to deal with
divergent integrals, you may want to limit the current distribution to
-L ≤ z ≤ L, determine A, adjust A by a constant (as one is allowed to
do), and then…
I need the answer as soon as possible
Chapter 30 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 30 - Consider the magnetic field due to the current in...Ch. 30 - A loose spiral spring carrying no current is hung...Ch. 30 - Prob. 30.3QQCh. 30 - Prob. 30.4QQCh. 30 - Consider a solenoid that is very long compared...Ch. 30 - Prob. 30.1OQCh. 30 - In Figure 30.7, assume I1 = 2.00 A ami I2 = 6.00...Ch. 30 - Answer each question yes or no. (a) Is it possible...Ch. 30 - Two long, parallel wires each carry the same...Ch. 30 - Two long, straight wires cross each other at a...
Ch. 30 - A long, vertical, metallic wire carries downward...Ch. 30 - Suppose you are facing a tall makeup mirror on a...Ch. 30 - A long, straight wire carries a current I (Fig....Ch. 30 - Prob. 30.9OQCh. 30 - Consider the two parallel wires carrying currents...Ch. 30 - What creates a magnetic Hold? More than one answer...Ch. 30 - A long solenoid with closely spaced turns carries...Ch. 30 - A uniform magnetic field is directed along the x...Ch. 30 - Rank the magnitudes of the following magnetic...Ch. 30 - Solenoid A has length L and N turns, solenoid B...Ch. 30 - Is the magnetic field created by a current loop...Ch. 30 - One pole of a magnet attracts a nail. Will the...Ch. 30 - Prob. 30.3CQCh. 30 - A hollow copper tube carries a current along its...Ch. 30 - Imagine you have a compass whose needle can rotate...Ch. 30 - Prob. 30.6CQCh. 30 - A magnet attracts a piece of iron. The iron can...Ch. 30 - Why does hitting a magnet with a hammer cause the...Ch. 30 - The quantity B ds in Amperes law is called...Ch. 30 - Figure CQ30.10 shows four permanent magnets, each...Ch. 30 - Explain why two parallel wires carrying currents...Ch. 30 - Consider a magnetic field that is uniform in...Ch. 30 - Review. In studies of the possibility of migrating...Ch. 30 - In each of parts (a) through (c) of Figure P30.2....Ch. 30 - Calculate the magnitude of the magnetic field at a...Ch. 30 - Calculate the magnitude of the magnetic field at a...Ch. 30 - Prob. 30.5PCh. 30 - In Niels Bohrs 1913 model of the hydrogen atom, an...Ch. 30 - Prob. 30.7PCh. 30 - A conductor consists of a circular loop of radius...Ch. 30 - Two long, straight, parallel wires carry currents...Ch. 30 - Prob. 30.10PCh. 30 - Prob. 30.11PCh. 30 - Consider a flat, circular current loop of radius R...Ch. 30 - A current path shaped as shown in Figure P30.13...Ch. 30 - One long wire carries current 30.0 A to the left...Ch. 30 - Prob. 30.15PCh. 30 - In a long, .straight, vertical lightning stroke,...Ch. 30 - Determine the magnetic field (in terms of I, a,...Ch. 30 - Prob. 30.18PCh. 30 - Determine the magnetic field (in terms of I, a,...Ch. 30 - Two long, parallel wires carry currents of I1 =...Ch. 30 - Two long, parallel conductors, separated by 10.0...Ch. 30 - Prob. 30.22PCh. 30 - Prob. 30.23PCh. 30 - Prob. 30.24PCh. 30 - Prob. 30.25PCh. 30 - In Figure P30.25, the current in the long,...Ch. 30 - Two long, parallel wires are attracted to each...Ch. 30 - Why is the following situation impossible? Two...Ch. 30 - Prob. 30.29PCh. 30 - Niobium metal becomes a superconductor when cooled...Ch. 30 - Figure P30.31 Is a cross-sectional view of a...Ch. 30 - The magnetic coils of a tokamak fusion reactor are...Ch. 30 - A long, straight wire lies on a horizontal table...Ch. 30 - An infinite sheet of current lying in the yz plane...Ch. 30 - The magnetic field 40.0 cm away from a long,...Ch. 30 - A packed bundle of 100 long, straight, insulated...Ch. 30 - Prob. 30.37PCh. 30 - Prob. 30.38PCh. 30 - Prob. 30.39PCh. 30 - A certain superconducting magnet in the form of a...Ch. 30 - A long solenoid that has 1 000 turns uniformly...Ch. 30 - You are given a certain volume of copper from...Ch. 30 - A single-turn square loop of wire, 2.00 cm on each...Ch. 30 - A solenoid 10.0 cm in diameter and 75.0 cm long is...Ch. 30 - It is desired to construct a solenoid that will...Ch. 30 - Prob. 30.46PCh. 30 - A cube of edge length l=2.50 cm is positioned as...Ch. 30 - A solenoid of radius r = 1.25 cm and length =...Ch. 30 - The magnetic moment of the Earth is approximately...Ch. 30 - At saturation, when nearly all the atoms have...Ch. 30 - A 30.0-turn solenoid of length 6.00 cm produces a...Ch. 30 - Prob. 30.52APCh. 30 - Suppose you install a compass on the center of a...Ch. 30 - Why is the following situation impossible? The...Ch. 30 - A nonconducting ring of radius 10.0 cm is...Ch. 30 - Prob. 30.56APCh. 30 - Prob. 30.57APCh. 30 - A circular coil of five turns and a diameter of...Ch. 30 - A very large parallel-plate capacitor has uniform...Ch. 30 - Two circular coils of radius R, each with N turns,...Ch. 30 - Prob. 30.61APCh. 30 - Two circular loops are parallel, coaxial, and...Ch. 30 - Prob. 30.63APCh. 30 - Prob. 30.64APCh. 30 - As seen in previous chapters, any object with...Ch. 30 - Review. Rail guns have been suggested for...Ch. 30 - Prob. 30.67APCh. 30 - An infinitely long, straight wire carrying a...Ch. 30 - Prob. 30.69CPCh. 30 - We have seen that a long solenoid produces a...Ch. 30 - Prob. 30.71CPCh. 30 - Prob. 30.72CPCh. 30 - A wire carrying a current I is bent into the shape...Ch. 30 - Prob. 30.74CPCh. 30 - Prob. 30.75CPCh. 30 - Prob. 30.76CPCh. 30 - The magnitude of the force on a magnetic dipole ...
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