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Massachusetts Institute of Technology
Department of Physics
Physics 8.022  Fall 2002
Assignment #6
Spacetime in Special Relativity
and review on Current, Resistance, Ohm's Law
EMF, Circuits, Kirchhoff's Rules, RC Circuits
Reading
Purcell
Chapter 4 and Appendix I (pages 451458), handout on Special Relativity by
Prof. Fisher.
Problem Set #6
Work on
all
problems. Not all problems receive equal points. Total points for this set is 100.
z
(20 points) [1]
RC circuit: qualitative analysis.
Three resistors (
R
1
,
R
2
and
R
3
), a capacitor
C
and an
Emf E
are connected as shown in the figure
below. Let us denote
V
R
1
=
V
a

V
b
,
V
R
2
=
V
b

V
d
,
V
R
3
=
V
b

V
e
and
V
C
=
V
e

V
d
. The capacitor is
assumed uncharged at t=0 when we ``close'' the switch
S
.
{
Perform a qualitative analysis of the circuit and derive the values for
V
R
1
,
V
R
2
,
V
R
3
,
V
C
as
well as of the currents
I
R
1
,
I
R
2
,
I
R
3
flowing through the resistors for a time
immediately after
the switch S is closed,
i.e.
{
).
Perform the same qualitative analysis of the circuit after infinite time elapses (i.e.,
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Plot the values of the above 7 quantities you have calculated at
and
and
estimate their behaviour for the times
t
in between 0 and
.
{
Following infinite time since we closed the switch
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