Monday, April 8, 2013

Electromagnetic Radiation Lab


Objective
For this lab, the purpose is finding the behavior of electromagnetic radiation due to a simple antenna.




Data
Graph:




Data Analysis
Graph




UNCERTAINTY ANALYSIS:

The uncertainty values for the peak to peak voltage are as follows:
±12 for V= (50 mV, 90 mV)
±6 for V= (19 mV, 28 mV)
±3 for V= (7.5 mV, 15.5mV)

The quantization uncertainty in the measurements of the distance z was set to ±0.01 cm. However, this uncertainty distance that was measured may have been calculated to the base of the prong. Consequently , an additional uncertainty, ±.02cm, needs to be added making it a total ∆z uncertainty of ±0.03cm.

Z minimum
Z maximum
Vmax
Vmin
Vuncertainty
0.02
0.08
144.1614372
65.30877
39.42633133
0.07
0.13
71.97213324
44.16668
13.90272463
0.12
0.18
47.28534799
33.06248
7.111432949
0.17
0.23
34.83099292
26.31653
4.257233117
0.22
0.28
27.44228895
21.81686
2.812715339
0.27
0.33
22.59180341
18.61364
1.989079353
0.32
0.38
19.17788295
16.22204
1.477923748
0.37
0.43
16.65045626
14.37048
1.13998933
0.42
0.48
14.706491
12.8957
0.905395224
0.47
0.53
13.16610911
11.6939
0.736106122

Conclusion

Based on the results we got, we verified the concept of EM waves. There were many assumptions that were in constructing the model of the theoretical voltage. The charge, Q, was considered to being a constant value throughout was one assumption that led to a comparable theoretical set of data numbers. The range of error between the two could be explained by discussing the simplifications made in order to keep this experiment simple. The data between the experimental and the theoretical were all in the range of uncertainty. 

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