Exam2 - Exam
2




2049H
Spring
2009
 
...

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Unformatted text preview: Exam
2




2049H
Spring
2009
 
 
 Name:
 
 
 Scores:


 1
 
 
 2
 
 
 3
 
 
 4
 
 
 5
 
 
 Total: Problem
1
(15
points)
 Parallel
 capacitors
 are
 half
 filled
 by
 dielectric
 materials
 as
 shown
 below.
 
 (a)
 calculate
 the
 capacitances
 in
 terms
 of
 ε0,
 A,
 d.
 (b)
 Which
 capacitor
 has
 higher
 capacitance?

 
 
 
 
 
 
 
 
 Problem
2
(20
points)
 Calculate
I1
and
I2
for
the
circuit
shown
left.
 
 
 
 
 
 
 
 
 
 Problem
3
(30
points)
 (a)
 Calculate
 I1
 in
 the
 steady
 state
 (t=∞).

 Note
that
at
this
point
I2
should
be
equal
to
 zero.

 (b)
 Calculate
 the
 charge
 stored
 in
 the
 capacitor
in
the
following
circuit.


 (c)
What
is
the
characteristic
charging
time
 (the
RC
time
constant)
for
the
capacitor?
 
 
 
 Problem
4
(20
points)
 Calculate
 the
 force
 due
 to
 magnetic
 field
 on
 a
 wire
 which
 has
 been
 shaped
 into
 a
 square
 shape
 as
 shown
 left.
 
 The
 square
 has
sides
of
1
m,
the
magnetic
field
is
0.1
 T,
and
the
current
is
1
A.

Magnetic
field
is
 only
 present
 in
 the
 dotted
 square
 as
 indicated
in
the
figure.
 
 
 
 
 
 
 Problem
5
(15
points)
 Calculate
 the
 force
 if
 the
 metal
 square
has
been
inserted
further
 into
 the
 magnetic
 field.

 Everything
 else
 remains
 the
 same.
 The
 square
 has
 sides
 of
 1
 m,
the
magnetic
field
is
0.1
T,
and
 the
current
is
1
A.

Magnetic
field
 is
 only
 present
 in
 the
 dotted
 square
as
indicated
in
the
figure.
 
 ...
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