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6.641 Electromagnetic Fields, Forces, and Motion
Spring 2009
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View Full DocumentMassachusetts
Institute
of
Technology
Department
of
Electrical
Engineering
and
Computer
Science
6.641,
Electromagnetic
Fields,
Forces,
and
Motion
MidTerm
Exam
March
17,
2009
6.641
Formula
Sheets
appear
at
the
end
of
this
exam.
In
addition,
an
8
½
”
x
11”
formula
sheet
(both
sides)
that
you
have
prepared
is
allowed.
1.
(25
points)
R
0
S
S
±
0
,
T
F
±
A
perfectly
conducting
hollow
sphere
of
radius
R
is
perfectly
insulating
(
T
±
0
)and
filled
with
a
uniform
distribution
of
volume
charge:
S
±
S
0
0
²
r
²
R
within
a
medium
with
permittivity
F
.
The
sphere
is
grounded
at
r
±
R
so
that
the
scalar
electric
potential
at
r
±
R
is
zero,
'
(
r
±
R
)
±
0
.
There
is
no
point
charge
at
r
±
0
so
that
Er
(
±
0)
must
be
finite.
r
a)
What
is
the
EQS
electric
field
()
²
r
²
R
?
E r
for
0
b)
What
is
the
scalar
electric
potential
where
E r
±³´
'
r
()
'
r
?
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 Spring '09
 Zahn
 Electromagnet

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