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Physics 2212 GPS 11
Problem #
A bar magnet with magnetic dipole
moment μ is approaching a wire loop.
The north end of the magnet ap-
proaches the center of the loop with
constant speed v. The loop has a ra-
dius R and the symmetry axis of the
loop is aligned with the axis of the
bar magnet. Answer the following
questions at the instant the mag-
net is a distance L from the cen-
ter of the loop such that L >> R
A. At the center of the loop, what is the direction of the change in the magnetic field? Briefly discuss how you
determined this.
B. What is the magnitude of the magnetic flux through the loop due to the bar magnet? You can ignore the
variation in magnetic field over the area of the loop (L >> R).
C. What is the direction of the conventional current I induced in the loop?
λ
1
_
_
-I
,
the
north
pole
has a
magnetic
field
going
into the^ -2 (^) axis
dg
=
D. Assume the magnetic field does vary over the area of the loop. Sketch arrows that represent the magnetic
field of the bar magnet at locations 1 and 2 on the loop.
E. How does the magnitude of the bar magnet’s magnetic field at location 1 compare to that at location 2? At
other locations in the loop? Is there an expression that would let you calculate both magnitude and direction
of the magnetic field at any location in the loop?
F. Assume, at the instant shown, the magnitude of the bar magnet’s magnetic field at location 1 is B and the
current induced in the loop is I. Write down an expression for the magnitude of the magnetic force on the
loop due to the bar magnet.
G. What is the magnitude of the magnetic force of the current loop ON the bar magnet?
λ
It
is the^
same
for (^) all
pans
on
the
loop
Brand :
#-
F :^
IOL
'
B
: ITRIBSinE
= 2i hIBsint
C. Calculate the total emf measure by the voltmeter connected to coil 2.
D. Determine the magnitude of the non-Coulomb electric field inside the wire of coil 2.
KmF)
= N/ Cnforccorpl
Enforciopath
Enf
= N2N
, (^ Enfoeloop)
StEnc(d)
= (^) N , NaJEnfop)
E=
N .
NEMnz
、
品 に^ 響
Problem #
A copper bar of slides with negligible friction
on metal rails separated by a distance L that
have negligible electric resistance. The rails
are connected on the left with a resistor so
that a conducting loop containing the bar and
resistor has total resistance R. Throughout
this region there is a uniform magnetic field
B pointing into the page, produced by large
coils that are not shown. This magnetic field
is increasing with time, and the magnitude is
B = B
0
and b are positive
constants, and t is the time in seconds. An
external but unknown force F keeps the bar
moving at constant speed v to the right. At
time t = 0 the bar is a distance x 0
from the
resistor.
A. Calculate the magnitude of the magnetic flux !(t) through the loop as a function made by the bar, rails,
and resistor.
¢
(t)
=
) B^
. n dA
dlt)
:
(
← (^) bt
) {^ (
× 0
= ut)
