Physics 121A – H04
Lab 223: Faraday’s Law
Introduction
Objectives
In this lab the voltage induced in a coil by a changing magnetic field will be measured and compared to the predicted value by Faraday’s Law.
Theory
Using Faraday’s Law, the theoretical value obtained will be compared to the experimental value obtained from the experiment.
Through a loop, the magnetic flux () is given by:
Since the function generator is set to sine, the current can be given as a function of time by I = Io*sin(wt). Thus: B(t) = B0*sin(wt) = (8.992x10-7)(N(h)I0/R)sin(wt)
Procedures
Data & Result
Helmholtz Current (mA) |
Frequency (Hz) |
B0 (mT) |
Theory EMF |
Exp EMF |
RMS voltage |
Peak RMS voltage |
12.8 |
800 |
0.178707 |
0. |
1.227798 |
0.874 |
1.23602 |
11.9 |
400 |
0.3387176 |
0. |
1.130723 |
0.799 |
1.12996 |
11.5 |
200 |
0.526366 |
0. |
0.904077 |
0.642 |
0.90792 |
10.6 |
100 |
0.674548 |
0. |
0.559901 |
0.396 |
0.56003 |
9.8 |
50 |
0.731399 |
0. |
0.303888 |
0.215 |
0.304056 |
Discussion
When we compared the theoretical values to the experimental ones, we observed that they were very similar. Our percent error had some outliers however they were not far off for each of the trials. Human errors and complications that may have occurred in the lab can explain the error that might have resulted. In the end we were still able to accurately observe and experiment with Faraday’s Law.
Conclusion
Throughout this lab we were able to gain a better understanding of Faraday’s laws through the experimental procedures. We were able to use those laws to calculate the voltage induced in a helmoltz coil. In the end we were able to accurately verify the law through doing the lab.
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