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PHYS 102 - Spring 2021-
Lab 3 Worksheet v 042922
File Submission Format
Filename: Phys102_Lab
Include: Worksheet and calculations in a single pdf
Names: Arslan Sanabayev Luca Tepedino Maya Watts
1. Data
Resistance, R (kΩ) = 9.1 kW
Single Capacitors
TABLE-‐
Capacitor
t
1/
( μsec ) Average
t
1/
( μsec ) Capacitance
C
exp ( nF )
C
1
= 6.8 nF 48 μsec 48 μsec
7 * 10^(-9) nF
C
2
=8.2 nF 64 μsec 64 μsec
9.3*10^(-9) nF
Capacitors in Series
TABLE-‐ 2
t
1/
( μsec ) Average
t
1/
( μsec )
Equivalent Capacitance
C
exp
= t
1/
/( R ln2)
( nF )
32 32 4.66*10^(-9)
Capacitors in Parallel
TABLE-‐ 3
t
1/
( μsec ) Average
t
1/
( μsec )
Equivalent Capacitance
C
exp
= t
1/
/( R ln2)
( nF )
104 μsec 104 μsec
1.34*10^(-8) nF
2. Analysis
Calculate values of capacitance and equivalent capacitance and enter into an Excel spreadsheet that aligns
with the tables.
Compare the values of single capacitors with those on the labels.
Compare the values of equivalent capacitances measured with theory using the values of single capacitors
obtained in Table 1.
Actual values of Capacitance:
C1= 6.8 nF C2= 8.2 nF Cseries=3.72 nF Cparallel=15 nF= 1.5 x 10^-8 F
Experimental Values of Capacitance:
C1= 7.0 nF C2= 9.3 nF Cseries=4.7 nF Cparallel=13.4 nF= 1.34 x 10^-8 F
3. Conclusion
Briefly discuss the connections between theory and measurement for the RC circuits and equivalent
capacitances obtained noting how the t 1/
oscilloscope measurements is used
Briefly discuss an example of how an RC circuit could be utilized in real life (e.g., heart pacemakers,
timing windshield wipers, etc. - not to be used as an example).
In comparison to the actual and measured values (7.0 nF, 9.3 nF, 4.7 nF, and 13.4 nF), the
experimental capacitance values (6.8 nF, 8.2 nF, 3.72 nF, and 15 nF, respectively) are found to be
rather accurate. The percentage errors are 2.8%, 11%, 20%, and 12%, respectively. By measuring
the amount of time required for the capacitor to reach 50% charge, the measured values can be
acquired with the t1/2 oscilloscope. An instance of an RC circuit's practical application is the
system that regulates traffic signals, including their timing. It is a very simple yet crucial use of RC
circuits that is good for all people.
