Lab Report 6
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University of Illinois, Urbana Champaign *
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Course
212
Subject
Electrical Engineering
Date
Feb 20, 2024
Type
Pages
5
Uploaded by AmbassadorFireToad18
Kitchen Sink L4M
Names & NetID: Ravyn Edran (redran2), Josh Frye (jcfrye2), Aidan Stahl (ahstahl2), Tuna
Tuncer (ttuncer2), & Zhengze Cao (zhengze2)
05 October 2023
LAB REPORT 6
Group Goal:
Give more people a chance to perform the experiment & ensure everyone has an understanding
of the procedure. Communicate and balance the workload better.
Introduction:
The goal of this experiment is to study how the labeled capacitance differs from the measured
capacitance & determine the uncertainties. We are measuring the uncertainty of the capacitance.
We used a multimeter and the IOLab to measure and compare the capacitor to its written value.
Methods:
We found the voltage before and after the
resistor in the circuit. Using 2.5V for the
DAC settings, we turned it on to charge the
capacitor. We measured the resistance in a
10kΩ resistor using a multimeter to
determine the true resistance value. We
found the uncertainty of this measurement
using the data from the multimeter
calibration. Using the graph of the voltage
we can calculate the time constant using
the difference in two voltages and the time
it takes for said voltage drop to occur. This
allows us to calculate the capacitance using
the time constant and the resistance. The
uncertainty in the time measurement was
found from the inverse of the sampling rate of the IO lab halved because it measures two data
points at that time.
The capacitors & resistors would be the main source of uncertainty, as well as the IOLab.
𝑉(𝑡) = 𝐴𝑒
−
𝑡
τ
Charging capacitor:
𝑉
2
=
𝑉
𝑡=∞
(1 − 𝑒
−
𝑡
τ
)
Discharging capacitor:
𝑉
2
=
𝑉
𝑡=0
𝑒
−
𝑡
τ
τ = 𝑅𝐶
𝑉
1
− 𝑉
2
=
𝐼𝑅
Results:
Iolab data, graphs, graph interpretation, uncertainties, results of calculations
22 → 23.25
22→23.252
56 → 59.4
56 → 59.28
𝐶 ± δ𝐶
Raw & calculated data
𝐶
±
δ𝐶 ⇔
δ𝐶
𝐶
= (
δ𝑅
𝑅
)
2
+
(
δτ
τ
)
2
Theoretical resistor: 10 kΩ
土
5%
Actual resistor: 9.84 kΩ
土
0.1
Theoretical capacitance: 22μF
Theoretical
capacitance (μF)
Actual capacitance
(μF)
Uncertainty (μF)
1
22
26.26
1.32
2
55
59.37
.61
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