Act II-PHYS 2016 Lab 2 Testing Mathematical Models I

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University of Minnesota, Duluth *

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2016

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Electrical Engineering

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Apr 3, 2024

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Activity II: Amanda : A. Made measurements along the axis(to the right of the stack of charges.) q=+1nC and -1nC Electric Field(V/m) Distance to sensor(m) degree(deg) 13.7 .485 81 1.71 1.00 86.7 0.21 2.015 86.4 0.06 3.022 88.9 0.03 3.814 88.4 B. My data fit exponential law in relation to distance better than power law. We can approximate the A and B values by using the ln(A)+Bln(x)=ln(y) equation. By using this equation and using the exponential-law plot, the A value is approximately -67.74, and the
B value is approximately 68.27. C. Measured from equidistance between charges(q=+1nC and -1nC). Made measurements along the axis(to the right of the stack of charges.) Prediction: I think that separating the charges will overall increase the electric field at each distance measured. Electric Field(V/m) Distance to sensor(m) 5.92 1.192 1.03 2.092 0.33 3.053 .14 4.022 .07 4.975
My data fit exponential law in relation to distance better than power. We can approximate the A and B values by using the ln(A)+Bln(x)=ln(y) equation. By using this equation and using the exponential-law plot, A value is approximately 44.03, and B value is approximately -12.40. D. Dipole Charge (q) Dipole Charge Separation (d) Dipole Moment p=qd Better Model? Power Law or Exponential Parameter A Parameter B Original +1nC -1nC 0.58 0 Power 43.67 -13.70 +2nC -2nC 0.594 0 Exponential 38.91 -0.03678 +1nC -1nC 0.724 0 Exponential 9.768 0.3214 +1nC -1nC 0.485 0 Exponential -67.74 68.27 Change +1nC -1nC .194 0 Exponential 0.205 4.47 +2nC -2nC 1.014 0 Exponential .5293 3.605 +2nC -1nC 1.725 1.725 Exponential 25.02 -22.23 +1nC -1nC 1.192 0 Exponential 44.03 -12.40 a. Our overall data follows that as distance increases, the electric field(voltage) gets smaller. As we follow coulomb's law we see that a 1/r 2 relationship occurs. Therefore we can follow coulombs law(q1q2/r 2 ). The dipole moment would change inversely based on the charge of the dipole. By changing the dipole charge and the dipole moment does not have any effect on parameters A and B. However changing the distance between does affect the parameters inversely, thus if distance decreases then the parameters should increase. b. This model would be useful when judging distance vs the voltage/electric field or
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when looking at a single dipole(not multiple dipoles combined). The graph showing distance vs voltage/electric field displays a 1/r 3 vs a 1/r 2 plot that can be seen in the other models. It would differ from coulomb’s law that way(aka coulomb's law followers a Constant/r 2 ).