Physics 2213
Homework #8
Spring 2009
Read:
Chapter 28, intro., sections 28.2 thru 28.7
Learning Goals:
(Be sure you understand where and how each goal in each assignment applies to our
homework, discussion, lecture, and lab activities.)
*
Use the BiotSavart Law and integration to determine magnetic fields from simple electric
current distributions — straight lines or line segments, circular loops or arcs.
*
Use symmetry to deduce geometric properties of magnetic fields due to specific sources and
sketch their magnetic field lines.
*
Use Ampere's Law to determine magnetic fields due to electric current systems of
sufficiently high symmetry — long straight wires, solenoids, toroids, planar sheets.
*
Use the Principle of Superposition, along with integration as needed, to determine the
net magnetic field produced by combinations of magnetic field sources.
*
Calculate magnetic field values from electric current values and viceversa.
*
Translate an equation for a magnetic field as a function of position into a graph conceptually
(without detailed calculations) in any dimension.
*
Determine magnetic forces between currentcarrying wires and loops.
*
Use the various forms of the RightHand Rule to relate magnetic field, electric current
directions, and magnetic forces.
*
Use the analogies between current loops, solenoids, and permanent magnets to deduce
properties of magnetic fields and forces produced by current loops and solenoids.
For extra practice:
Chap. 28:
Q's #Q28.13, 515
(not quizzed)
E's & P's #28.9, 13, 21, 25, 31, 33, 39, 45, 63, 69
To be prepared for WednesdayFriday, Mar. 2527, at your 2nd weekly Discussion section:
#28.60
[Two Wires]
#28.69 & 70
[Superposition Principle]
Use the
BiotSavart Law
to justify your results.
#28.74
[Thick Cylindrical Shell]
Please add:
(c)
Draw a
graph
of the magnetic field B(r) vs.
distance r from the axis of the cylinder from r = 0 to r > c.
#28.81
[Flat Current Sheet]
HINT:
What does
symmetry
tell you about the directions and
magnitudes of the magnetic fields above and below the current sheet?
#1.
A rectangular wire loop of
dimensions D and H that carries electric current I
2
is
situated a distance y directly beneath a long straight
horizontal wire that carries current I
1
, as shown .
(a)
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 Spring '07
 PERELSTEIN,M
 Magnetism, Work, Heat, Magnetic Field

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