Takehome1 - Quiz
#1
2049
H


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Unformatted text preview: Quiz
#1
2049
H
 You
should
use
extra
scratch
paper:
show
all
your
work:
staple
all
the
answers
 together.
 
 Due
Feb
17th
 
 Problem
1:
 
 Calculate
the
electric
field
of
a
charge
distribution
as
depicted
below.

Magnitude
of
 all
charges
are
q,
but
the
signs
differ.

You
may
assume
r>>d.

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Problem
2
 a)
Consider
a
sphere
filled
with
uniform
 charge
density,
ρ,
except
for
an
internal
 sphere
which
is
empty.


Let
a
be
the
vector
 from
the
center
of
the
sphere
to
the
center
of
 the
bubble.

Calculate
the
vector
electric
field
 within
the
bubble
and
show
that
it
is
 constant.

(Hint:
An
empty
bubble
is
 equivalent
to
overlapping
sphere
of
equal
 but
opposite
charge.)
 
 
 
 
 
 
 (b)
What
is
the
surface
charge
distribution
on
a
metal
sphere
of
radius
R
which
is
in
 a
constant
external
field
E
in
the
z
direction?

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Problem
3
 You
have
an
infinite
lattice
of
resistors,
all
of
the
same
resistance,
R,
as
illustrated
 below.
What
is
the
resistance
between
point
A
and
B?


 ...
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