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Transcript
List of Tables
2.r
2.2
2.3
2,4
Values of time measured for a cylindrical symmetric oscillator for
different numbers of oscillations and for different values of the angle
of oscillation with respect to the r axis. These measurements are
done r,vith a stop rvatch of 10ms least count. However, since the
observations a,re taken by hand and the hurnan response tirne is
of the order of 100-200ms the last digit in the observations is not
relevant. Therefore to get better accuracy we have taken a certain
minirnum number of oscillations. .
18
The values of frequency for oscillation of the pendulum in different
directions. The data shows that the situation is very close to symmetric and all the polarization modes of oscillation are degenerate
r,vithin experimental errors. Hence the frequency of oscillation is
the same along all directions within experimeutal errors. The frequency is 2.100716 t 0.0000001 rad/sec.
19
Measurement of normal mode frequencies after the symtnetry is
broken by connecting a spring (No. 1) to the suspeusion. The
second decimal place in the mea*sured data is actually uot relevant
because human response time of 100-200ms is larger than the stop
watch least count of 10m The second decimal place in the measured
data is actually not relevant because human response time of 100200ms is larger than the stop watch least count of 10ms
20
Time and frequency data for the movement of the plane of oscillation of the pendulum. The time quoted here is the time taken
for the pendulum started with its plaue of oscillatiou at a certaiu
angle to return to the same plane after going through the full cycle.
21
ix
LIST OF TABLES
2.5
2.6
4.7
Measurement of normal mode frequencies after the symmetry is
broken by connecting another spring (No.2) to the suspension. In
the all the measurements in this table a stopwatch of 10ms least
count is used, however, because of the lirnitation of human response
time the second decimal place in the data is not relevant
Time and frequency data for the movement of the plane of oscillation of the pendulum. The time quoted here is the time taken
for the penclulum started with its plane of oscillation at a certain
angle to return to the same plane after going through the full cycle.
The estirnation of capacitance between terminals fi and Zz at different frequencies, Tlie estimated capacitance is clearly an order
of magnitude smaller than the capacitance that r,ve introduce for
generating current in the circuit for our measurements.
5.1
5.2
5.3
Values of the components used in the circuit shown in Figure 5,5,
Values of dielectric constants fcrr Dielectric 1 and Dielectric 2.
Parallel combination of dielectrics. Verification of the relation
5.4
of the relation I(" :
Kn: h*
22
23
60
68
72
73
Series combination of dielectrics. Verification
74
5.5
Verification of the relation C
:
--+---T
r-r(1 - K),
when the capacitor
is partially filled in the spa,ce between dielectric
plates.
74
6.1 Fits to 500 samples of data of an AC Voltage with peak voltage
V**,
6.2
binned into 91 voltage bins.
Fits to 500 samples of data of an AC Voltage with peak voltage Ll,
binned into 91 voltage bins. I: experimental data set, II: simulatecl
data, III: simulated 10,000 data set, scaled to 500 samples,
99
99