Capacitors Lab Yip
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Feb 20, 2024
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1 (1 point) Title of the Experiment: Capacitors Lab Student’s name:
Puurich Yip Section SLN: 13710 TA’s Name:
Sang-Eon Bak, Francesco Setti Week of the experiment: 4 (lab 3)
2 OBJECTIVE (
3 points
): The purpose of this experiment is to learn and prove how parallel plate capacitors function, and how they react when put into series and parallel circuits. We will also see the dielectric constant being put into series and find out how to find the equivalent capacitance. EXPERIMENTAL DATA (
6 points
) & DATA ANALYSIS & RESULTS (
10 points
) Obtain experimental data that will be used for further calculations from the graphs or tables. Be sure to show your calculations and to include related equations and diagrams! PART I. Parallel plate capacitor. a.
Air-filled parallel plate capacitor •
The labeled screen capture of the
air-filled virtual capacitor designed in PhET •
SIMULATION WITH V1=1.101V, K=1, d=6.6mm, A=232.5mm^2 V
1
= 1.101 (Volts) [See Module 4 on Canvas for V
1
value] 𝛆 = 𝛋
𝐚?𝐫
∙ 𝛆
?
(??𝐭? 𝛋
𝐚?𝐫
= ? 𝐚?𝐝 𝛆
?
= 𝟖. 𝟖?? ? ??
−??
𝐅
?
)
3 C = capacitance; Q = plate charge; U = stored energy d
1
= 6.6 (mm); A
1
= 232.5 (mm
2
) [See Module 4 on Canvas for d
1
and A
1
values] CALCULATIONS FOR C, Q, U VALUES, WITH PERCENT ERRORS •
How do the calculated values of C, Q and E compare with the corresponding ones shown in the simulation –
comment on this and refer to the % errors calculated? All three of the calculated values of C, Q, and E came out to be very close to the simulated values, within 0.6% error for the C and E values, and 2% error for the Q value. If the simulation were to give more decimals for the values, there would
’
ve been even less error. I also wasn
’
t able to get the values exactly to the set parameters, however they
’
re within the allowed ranges. Simulated Calculated (show formula and calculations) % error C (unit) 0.31*10^-12F 0.312*10^-12F 0.6% Q (unit) 0.35*10^-12C 0.343*10^-12C 2% U (unit) 1.90*10^-13J 1.89*10^-13J 0.5%
4 b.
Changing d
and A
•
First row: original d
and A
values from part I-a. Second and third row: change d
while keeping original A
value. Fourth and fifth row: change A
while keeping original d
value. [See Module 4 on Canvas for d
2
,
d
3
, A
2
, and A
3
values] Answer the question: •
What are the effects of changing the plate separation and the plate surface area on the capacitance, the amount of stored charges and energy. The capacitance decreases with an increase in plate separation (d). The energy values and stored charges also decrease with increased separation. With an increase in area, the capacitance, energy, and stored charges also increase. c.
With dielectric –
changing offset value (
x
) •
The labeled screen capture of the dielectric-filled
virtual capacitor designed in PhET V
1
= 1.101 (Volts). 𝛆
𝐃
= 𝛋 ∙ 𝛆
?
(with 𝛋 =
4.5); d
1
= 6.5 (mm); A
1
= 232.5 (mm
2
) [See Module 4 on Canvas for 𝛋
value] When the offset x = 0: C
D
= 1.42
*10^-12F Q
D
= 15.61
*10^-13C U
D
= 8.59
*10^-13J
d (mm) A (mm
2
) C (unit) Q (unit) U (unit) d
1
= 6.6
A
1
= 232.5
0.312*10^-12F 0.343*10^-12C 1.89*10^-13J d
2
=6.7
A
1
= 232.5
0.307*10^-12F 0.338*10^-12C 1.86*10^-13J d
3
=6.9
A
1
= 232.5
0.298*10^-12F 0.328*10^-12C 1.81*10^-13J d
1
=6.6 A
2
= 236.4 0.317*10^-12F 0.349*10^-12C 1.92*10^-13J d
1
=6.6 A
3
= 240.4 0.322*10^-12F 0.355*10^-12C 1.95*10^-13J
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