Lab 205 Parallel Plate Capacitor

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Apr 3, 2024

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Lab 205: Parallel Plate Capacitor Group ID: 6 Date of Experiment: 10/19/2021 Date of Report Submission: 10/26/2021 Phys 121A 001 Instructor: Sandun Amarasinghe 1. Introduction 1.1 Objectives - To understand the principle of a parallel plate capacitor, to investigate how the capacitance of parallel plate capacitor varies as the plate separation changes and to measure the dielectric constant of a material. 1.2 Theoretical Background - The objective of this lab is to understand the functions of a parallel plate capacitor and to measure the value of its capacitance using software.
2. Experimental Procedure Part I: Capacitance as a function of plate separation Measure the capacitance of the parallel plate Part 1 Data: Separation [mm] 0.9000 1.5000 1.9500 2.5125 3.0375 3.9000 6.1500 8.0625 Capacitance [pF] 547.00 239.00 165.00 121.00 97.00 89.00 53.00 38.00 Plot a function for the experimental data Digital Vernier Caliper Parallel Plate Capacitor Rotary Motion Sensor Universal Interface Dielectric plate Capacitance meter Banana Plug Test Leads Fixed plate Movable plate
Part II: Capacitor with Dielectric Measure the thickness of the dielectric plate. Measure the capacitance of the parallel plate for different plate separations. Plug the values into the table Part 2 Data: Distance of air gap [mm] 0.000 1.012 1.425 1.912 2.588 3.000 3.975 6.037 7.912 Total capacitance [pF] 137.00 98.00 85.00 73.00 62.00 57.00 48.00 36.00 30.00 Plot k = 2.915 3. Results 3.1 Experimental Data Measurement of plate: 6.3mm Diameter of plate: 20cm Area: 0.03104m
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3.2 Calculations C = Q/V C = kA ϵ0/d 1/Ct = 1/C1 + 1/C2 4. Discussion Questions: Part I:
a. What is the % difference between the two slopes (theory and experiment)? Theory: 1.35 x 10^12pf Experimental: 1.37 x 10^12 - The % difference = 1.48% error b. What is (are) the reason(s) for the difference? - Could be a lack of precision and accuracy on the machine, but more likely due to human error miscalculating or mishandling the plate. c. Which range of the separations (smaller or larger) in your measurement has larger difference in capacitance values between theoretical and experimental ones? - Range 1 has the largest difference between 507 to 308 Part II: a. Why is the electric field inside the dielectric smaller than the one in air between the plates? - The electric field within the dielectric is smaller than the air in between the plates of metal since the air has less molecules to transfer electrons. b. What is the direction of the electric field inside the dielectric when the dielectric is placed inside the charged parallel plate capacitor?
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- The electric field inside the dielectric is opposite the external one. This is clear by thinking at all the dielectric electric dipoles orientating in the external E field. 5. Conclusions - In these experiments we learned about the Parallel Plate Capacitor and how it functions as an energy storage device. It is made up of two conductors and charge is deposited on one of the two parallel plates which then establishes and electric field. With C we are able to calculate the distances between each plate, and with that data, plot the points and compare it to theoretical data.