| Oscillations
and Waves > Waves > Standing Waves |
DCS# 7A50.40 |
STANDING WAVES
IN
A CIRCULAR WIRE
-
APPARATUS
| pasco driver |
202-17-A3 |
| function
generator/amplifier |
202-17-A3 |
wire loop
|
202-17-D |
| strobe light |
202-17-F |
DESCRIPTION
- Set the driver to a frequency
that
produces standing
waves in the circular wire. Set the strobe light close
to the
same frequency
to slow the motion. The standing waves provide a 2-D
analog of
stationary states as standing matter waves in atoms.
- NOTES
- Resonant frequencies:
frequency
(Hz)
|
number
of nodes
|
19
|
3
|
71
|
5
|
148
|
7
|
249
|
9
|
375
|
11
|
- Only standing waves with odd
numbers
of nodes are produced.
The point opposite the driver will always be an antinode since
waves
traveling each way around the loop will always be in phase at
the point
equidistant from the driver. The driver is located at a
node.
REFERENCES
Meiners 38-6.5.
Y. K. Vijay, "Mechanical oscillations in a circular loop", AJP
64,
1077-1078, (1996).
Danning
Bloom,
Dan W. Bloom, " Vibrating
Wire Loop and the Bohr Model", TPT,
Vol.
41, May 2003, p. 292.
"Standing
Waves
in a Circle", AJP,
33 (10) xiv.
