PS071
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Physics
8.02
Fall 2008
Label with your name, table number and group. Turn in at the homework box.
Problem Set 7
Due: Thursday, October 23
rd
at 12:00 pm
Warm Up
Problem 1:
Quickies…
a)
Two semicircular arcs have radii
R
2
and
R
1
, carry current
i
,
and share the same center of curvature C.
What is the
magnitude of the net magnetic field at C?
b)
A wire with current
i
is shown at left. Two semiinfinite
straight sections, both tangent to the same circle with radius
R
, are connected by a circular arc that has a central angle
θ
and runs along the circumference of the circle. The
connecting arc and the two straight sections all lie in the
same plane. If
B
= 0 at the center of the circle, what is
θ
?
c)
The figure at left shows two closed paths wrapped around
two conducting loops carrying currents
i
1
and
i
2
. What is the
value of the integral
d
∫
B
s
G
G
i
v
for
(a)
path 1 and
(b)
path 2?
d) Four infinitely long parallel wires carrying equal current
I
are arranged in such a way that when looking at the cross
section, they are at the corners of a square, as shown in the figure
below. Currents in
A
and
D
point out of the page, and into the
page at
B
and
C
. What is the magnetic field at the center of the
square?
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 Fall '08
 SCIOLLA
 Magnetic Field, MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics

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