Robert Cinca - Physics
Part
Part 2.1:
2.1: Processed
Processed Data
Data Tables
Tables and
and Graphs
Graphs for
for 6.5V
6.5V 0.15A
0.15A Filament
Filament Bulb
Bulb
Primary
Primary relationship:
relationship: surge
surge current
current time
time and
and final
final current
current
The
The measurements
measurements taken
taken during
during this
this experiment
experiment can
can be
be seen
seen in
in Figure
Figure 3:
3:
Final Current, I/A
Final Current, I/A
±0.01A
±0.01A
0.06
0.06
0.07
0.07
0.08
0.08
0.09
0.09
0.10
0.10
0.11
0.11
0.12
0.12
0.13
0.13
0.14
0.14
0.15
0.15
0.16
0.16
0.17
0.17
2
Surge Current Time, T/s
Surge Current Time, T/s
1
1
0.641
0.641
0.463
0.463
0.366
0.366
0.270
0.270
0.208
0.208
0.196
0.196
0.154
0.154
0.119
0.119
0.100
0.100
0.083
0.083
0.087
0.087
0.090
0.090
2
2
0.591
0.591
0.422
0.422
0.355
0.355
0.279
0.279
0.229
0.229
0.190
0.190
0.140
0.140
0.121
0.121
0.104
0.104
0.084
0.084
0.087
0.087
0.081
0.081
±0.003s
±0.003s
3
3
0.612
0.612
0.445
0.445
0.355
0.355
0.279
0.279
0.211
0.211
0.192
0.192
0.147
0.147
0.116
0.116
0.093
0.093
0.092
0.092
0.083
0.083
0.072
0.072
Average Uncertainty
Average Uncertainty
5
5
0.590
0.613
0.030
0.590
0.613
0.030
0.423
0.434
0.030
0.423
0.434
0.030
0.371
0.362
0.008
0.371
0.362
0.008
0.271
0.276
0.006
0.271
0.276
0.006
0.208
0.221
0.020
0.208
0.221
0.020
0.183
0.191
0.007
0.183
0.191
0.007
0.144
0.147
0.007
0.144
0.147
0.007
0.120
0.117
0.005
0.120
0.117
0.005
0.094
0.097
0.006
0.094
0.097
0.006
0.092
0.089
0.005
0.092
0.089
0.005
0.080
0.084
0.004
0.080
0.084
0.004
0.083
0.081
0.009
0.083
0.081
0.009
4
4
0.629
0.629
0.419
0.419
0.363
0.363
0.282
0.282
0.248
0.248
0.194
0.194
0.150
0.150
0.111
0.111
0.093
0.093
0.092
0.092
0.083
0.083
0.078
0.078
-2
Average
Uncertainty
Average
Uncertainty
278
90
278
90
204
60
204
60
156
40
156
40
123
30
123
30
100
20
100
20
83
20
83
20
69
10
69
10
59
9
59
9
51
7
51
7
44
6
44
6
39
5
39
5
35
4
35
4
Figure 3: Data Table for Primary Relationship
Figure 3: Data Table for Primary Relationship
The
The current
current value
value was
was limited
limited by
by the
the precision
precision of
of the
the data
data logger
logger (±0.01A).
(±0.01A). The
The
uncertainties
of
the
average
surge
current
time
were
determined
by
the
half
uncertainties of the average surge current time were determined by the half range
range
value
for
each
surge
current
time,
or
limited
to
±0.003s
by
the
meter
precision.
value for each surge current time, or limited to ±0.003s by the meter precision.
To
To calculate
calculate the
the uncertainty
uncertainty of
of the
the inverse
inverse square
square of
of the
the final
final current,
current,
following
formula:
following formula:
2DI
-2
2DI
-2 =
(DI)
(DI) =
I I 3 3
, , I I used
used the
the
For
For example,
example, using
using the
the above
above formula,
formula, to
to calculate
calculate the
the uncertainty
uncertainty for
for the
the value
value 278,
278,
-2
3
-2 =2() 3 , giving me an answer of 92.59, rounding it to 90 (one
I I did:
(DI)
did: (DI) =2() , giving me an answer of 92.59, rounding it to 90 (one
significant
significant figure).
figure). I I rounded
rounded all
all data
data table
table uncertainties
uncertainties to
to one
one significant
significant figure.
figure.
29
-2
1/(Final Current) 2 ,I -2 /A -2
1/(Final Current) ,I /A
11
11