Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Question
Chapter 32, Problem 9P
To determine
To find:
a) The magnitude of induced magnetic field at radial distance.
b) The magnitude of induced magnetic field at radial distance.
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An electric current is flowing through a long cylindrical conductor with radius a = 0.15 m. The current density J = 2.5 A/m2 is uniform in the cylinder. In this problem, we consider an imaginary cylinder with radius r around the axis AB.
Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms of r, a, and J.
Part (f) Express the magnitude of the magnetic field, B, at r > a in terms of I and r.
Part (g) Express B in terms of J, a and r.
Part (h) For r = 2 a, calculate the numerical value of B in Tesla.
I already did the first few parts. I am most confused on parts e and g, how to derive the equations. Thanks so much!
A cylindrical region of radius R=3 cm contains a uniform
magnetic field parallel to its axis. If the electric field induced at a
point 1=6 cm from the cylinder axis is 4.5×10³ V/m, the
magnitude of magnetic field must be changing (in T/s) at the rate:
R
r
E
X X
X X
x xB
E
Nonuniform displacement-current density. The figure
shows a circular region of radius R = 5.0 cm in which
a displacement current is directed out of the page.
The magnitude of the density of this displacement
current is given by Jd = (9 A/m²)(1 - r/R), where r is
the radial distance (r ≤ R). What is the magnitude of
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(a) r = 2.5 cm and
(b) r =
= 6.5 cm?
(a) B =
i
(b) B=
T
R
Chapter 32 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 32 - Figure 32-19a shows a capacitor, with circular...Ch. 32 - Prob. 2QCh. 32 - Prob. 3QCh. 32 - Figure 32-22a shows a pair of opposite spin...Ch. 32 - An electron in an external magnetic field Bext has...Ch. 32 - Prob. 6QCh. 32 - Figure 32-23 shows a face-on view of one of the...Ch. 32 - Prob. 8QCh. 32 - Replace the current loops of Question 8 and Fig....Ch. 32 - Prob. 10Q
Ch. 32 - Figure 32-25 represents three rectangular samples...Ch. 32 - Prob. 12QCh. 32 - Prob. 1PCh. 32 - Prob. 2PCh. 32 - Prob. 3PCh. 32 - Prob. 4PCh. 32 - Prob. 5PCh. 32 - Prob. 6PCh. 32 - Prob. 7PCh. 32 - GO Nonuniform electric flux. Figure 32-30 shows a...Ch. 32 - Prob. 9PCh. 32 - Prob. 10PCh. 32 - Prob. 11PCh. 32 - Prob. 12PCh. 32 - Prob. 13PCh. 32 - Prob. 14PCh. 32 - Prob. 15PCh. 32 - Prob. 16PCh. 32 - Prob. 17PCh. 32 - Prob. 18PCh. 32 - Prob. 19PCh. 32 - Prob. 20PCh. 32 - Prob. 21PCh. 32 - Prob. 22PCh. 32 - Prob. 23PCh. 32 - The magnitude of the electric field between the...Ch. 32 - Prob. 25PCh. 32 - Prob. 26PCh. 32 - Prob. 27PCh. 32 - GO Figure 32-35a shows the current i that is...Ch. 32 - Prob. 29PCh. 32 - Assume the average value of the vertical component...Ch. 32 - In New Hampshire the average horizontal component...Ch. 32 - Figure 32-37a is a one-axis graph along which two...Ch. 32 - SSM WWWIf an electron in an atom has an orbital...Ch. 32 - Prob. 34PCh. 32 - What is the measured component of the orbital...Ch. 32 - Prob. 36PCh. 32 - Prob. 37PCh. 32 - Assume that an electron of mass m and charge...Ch. 32 - A sample of the paramagnetic salt to which the...Ch. 32 - A sample of the paramagnetic salt to which the...Ch. 32 - Prob. 41PCh. 32 - Prob. 42PCh. 32 - Prob. 43PCh. 32 - Figure 32-39 gives the magnetization curve for a...Ch. 32 - Prob. 45PCh. 32 - You place a magnetic compass on a horizontal...Ch. 32 - SSM ILW WWW The magnitude of the magnetic dipole...Ch. 32 - The magnitude of the dipole moment associated with...Ch. 32 - SSMThe exchange coupling mentioned in Module 32-8...Ch. 32 - Prob. 50PCh. 32 - Prob. 51PCh. 32 - Prob. 52PCh. 32 - Prob. 53PCh. 32 - Using the approximations given in Problem 61, find...Ch. 32 - Earth has a magnetic dipole moment of 8.0 1022...Ch. 32 - A charge q is distributed uniformly around a thin...Ch. 32 - A magnetic compass has its needle, of mass 0.050...Ch. 32 - Prob. 58PCh. 32 - Prob. 59PCh. 32 - Prob. 60PCh. 32 - SSMThe magnetic field of Earth can be approximated...Ch. 32 - Prob. 62PCh. 32 - Prob. 63PCh. 32 - A sample of the paramagnetic salt to which the...Ch. 32 - Prob. 65PCh. 32 - Prob. 66PCh. 32 - In Fig. 32-42, a parallel-plate capacitor is being...Ch. 32 - What is the measured component of the orbital...Ch. 32 - Prob. 69PCh. 32 - Prob. 70PCh. 32 - Prob. 71PCh. 32 - Prob. 72PCh. 32 - SSM If an electron in an atom has orbital angular...Ch. 32 - Prob. 74PCh. 32 - Prob. 75PCh. 32 - What are the measured components of the orbital...
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