LAB_4_Resistance-in-Wire-ST
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New Jersey Institute Of Technology *
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Electrical Engineering
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Feb 20, 2024
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Resistance in a Wire
Last Name _____Mano_____
First Name ___Kisei______
Date __10/20/20__
This lab is designed for a student working remotely.
This lab uses the Resistance in a Wire
and Circuit Construction Kit DC
simulation from PhET https://phet.colorado.edu/sims/html/resistance-in-a-wire/latest/resistance-in-a-wire_en.html
https://phet.colorado.edu/sims/html/circuit-construction-kit-dc/latest/circuit-construction-kit-dc_en.html
1.
Explore the characteristics of a resistor that are variable in this model.
2.
Identify how each characteristic affects the resistance and current flow.
3.
Explain your ideas about why the characteristics change the resistance and current flow.
4.
Use understanding to make predictions about a circuit with lights and batteries.
Develop your understanding: 1.
Open Resistance in a Wire
, then explore to develop your own ideas about how the construction of a resistor affects its resistance and
also ability to allow current to flow. Describe several of your experiments and your observation with captured images from the simulation.
Experiment Procedure:
Set up a resistivity
= 0.77
*cm.
Keep
= 0.77
*cm Constant.
In Excel build up a Table data with four columns:
R(
L(cm), A(cm
2
), L(cm)
/
A(cm
2
) R(
L(cm)
A(cm
2
)
L(cm)
/
A(cm
2
)
1.53
2.01 cm
1.01 cm
2
1.99009901
cm
-1
0.964
5.02 cm
4.01 cm
2
1.251870324 cm
-1
0.883
8.04 cm
7.01 cm
2
1.146932953 cm
-1
0.851
10.5 cm
9.51 cm
2
1.104100946 cm
-1
0.851
11.06 cm
10.01 cm
2
1.104895105 cm
-1
0.836
12.5 cm
11.51 cm
2
1.086012163 cm
-1
0.83
14.01 cm
13 cm
2
1.077692308 cm
-1
0.934
17 cm
14.01 cm
2
1.213418986 cm
-1
1.03
20 cm
15 cm
2
1.333333333 cm
-1
Take 10 different measurements for Resistance (R), Length (L) and cross-
section areas (A)
In Excel build up a graph
: R(
on y-axis vs L(cm)
/
A(cm
2
)
on x-axis
1
1.2
1.4
1.6
1.8
2
2.2
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
f(x) = 0.77 x
L(cm)/A(cm2) vs R(ohms)
L(cm)/A(cm2)
R(W)
Calculate a slope of the graph. What is a physical meaning of the slope?
The slope of the graph is 0.77 which means the resistivity is 0.77Ω*cm
Find a Percent Error of a value of your slope and
= 0.77
*cm.
δ
=
|
v
A
−
v
E
v
E
|
∗
100%
=
|
0.77
Ω
∗
cm
−
0.77
Ω
∗
cm
0.77
Ω
∗
cm
|
∗
100%
¿
|
0
0.77
|
∗
100%
=
|
0
|
∗
100%
=
0
∗
100%
=
0%
SHOW ALL WORKS!!!
***
Demonstrate your understanding:
Directions: As you answer
the questions,
explain
in your own words why your answer makes sense and provide evidence
from your #1 experiments. Add more experiments to #1 if you need to get better evidence. 2. If you change the cross sectional area of the resistor, how does a.
the resistance change? (draw the sketch, answer, explain, evidence)
As the area increases the resistance decreases but when area decreases the resistance increases.
b.
the current through a circuit change? (answer, explain, evidence)
As the area increases the 3. If you change the length of the resistor, how does
a.
the resistance change? (draw the sketch, answer, explain, evidence)
As the length decreases the resistance decreases but when length increases the resistance increases.
b.
the current through a circuit change? (answer, explain, evidence)
As the length increases 4. If you change the resistivity of the resistor, is the effect like changing the length or changing the area? (draw the sketch, answer, explain, evidence)
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The change of the resistivity is the effect like changing the length
5.
During manufacturing, how is the resistivity of a resistor changed? Cite your references
The resistivity of a resistor manufacturers increases by cutting a pattern in the film to increase the path of the electric current.
6.
Consider the two circuits below in which the left resistor is and the right one is https://phet.colorado.edu/sims/html/circuit-construction-kit-dc/latest/circuit-construction-kit-dc_en.html
Use your understanding of voltage, resistance, and current to answer these questions:
a.
What do you think will happen when the switches are turned closed?
(answer, explain, evidence)
I believe when the switches are turned closed the current of an energy of the left resister flows slower than the right one. As a proof when I measured the current on the left resister it stated 0.45 A. How ever the current on the right resister stated 0.15 A.
b.
How do you think the lights’ brightness will compare?
I believe the left resister’s flash is brighter than the right one.
c.
Open the Intro screen of Circuit Construction Kit DC. Build the 2 circuits and check your answers. Insert a capture of the circuits with the switch closed for supporting evidence.
Problems
1. Calculate a current through a 3.28-cm-radius wire of iron with 0.500 m length. Voltage applied is 2.45 kV.
2. A nichrome alloy wire is used for heating device which resistance cannot be change more than 2.57% from its value at 20.0
o
C. At what temperature range the device can be used?
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3. What is the energy stored in a parallel plate capacitor with an air as a dielectric, plates area 2.4x10
2
m
2
that
are 0.177 m apart, and charged with opposite charges of 5.13 nC ?
4. If in a capacitor of 6.78 mF is stored 28.0 J of energy, calculate the value of the charge stored.
5. An area of a parallel plate capacitor is 3.75 m
2
with separation between the plates of 0.0245 mm with a
dielectric constant of 4.87 The capacitor stores 0.324 C of charge. Define the voltage applied to the plates.
CONCLUSION:
To conclude this report, I have done observations on expanding an understanding of the action of how a resistor works. When doing a graph of how a resistor affects resistance, many interesting results came. For example, one of the findings taking different measures of resistance levels and getting the results. Also, after doing a graph L(cm)/A(cm2) vs(ohms), a result of y= 0.77x was found. The last thing to keep a note of is to look back at everything. When reflecting on how the areas increase, it will also lead to a resistance level to do down. The other way around that is possible of the opposite. I hope to use this information as it is valuable in the future. Also, an image provided of a resistance model simulates all the possibilities of what will happen in real life.
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